Gábor Somlai

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All published works

Action	Title	Year	Authors
+	A lonely weak tile	2024	Gergely Kiss Itay Londner Máté Matolcsi Gábor Somlai
+ PDF Chat	Functional tilings and the Coven-Meyerowitz tiling conditions	2024	Gergely Kiss Itay Londner Máté Matolcsi Gábor Somlai
+	Decompositions of the positive real numbers into disjoint sets closed under addition and multiplication	2024	Gergely Kiss Gábor Somlai Tamás Terpai
+ PDF Chat	Spectrality of the product does not imply that the components are spectral	2024	Gábor Somlai
+ PDF Chat	A lonely weak tile	2024	Gergely Kiss Itay Londner Máté Matolcsi Gábor Somlai
+ PDF Chat	Degree gap of polynomials of small range sum	2024	A. M. Marko Gábor Somlai
+ PDF Chat	Special directions on the finite affine plane	2024	Gergely Kiss Gábor Somlai
+ PDF Chat	On the diameter of Cayley graphs of classical groups with generating sets containing a transvection	2024	Martino Garonzi Zoltán Halasi Gábor Somlai
+ PDF Chat	A new proof of Rédei’s theorem on the number of directions	2024	Gábor Somlai
+ PDF Chat	Tiling and weak tiling in $$(\mathbb {Z}_p)^d$$	2023	Gergely Kiss Dávid Matolcsi Máté Matolcsi Gábor Somlai
+ PDF Chat	Optimal Embedded and Enclosing Isosceles Triangles	2023	Áron Ambrus Mónika Csikós Gergely Kiss János Pach Gábor Somlai
+ PDF Chat	CI-property of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="bold-italic">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msubsup><mml:mo mathvariant="bold">×</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="bold-italic">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="bold-italic">n</mml:mi></mml:mrow></mml:msub></mml:…	2023	István Kovács Mikhail Muzychuk Péter P. Pálfy Grigory Ryabov Gábor Somlai
+	Decompositions of the positive real numbers into disjoint sets closed under addition and multiplication	2023	Gergely Kiss Gábor Somlai Tamás Terpai
+	Spectral Tile Direction in the Group $\mathbb{Z}_{p^2} \times \mathbb{Z}_{q^2} \times \mathbb{Z}_r$	2023	Thomas Fallon Gergely Kiss Azita Mayeli Gábor Somlai
+	On polynomials of small range sum	2023	Gergely Kiss A. M. Marko Zoltán Lóránt Nagy Gábor Somlai
+ PDF Chat	Fuglede’s Conjecture Holds for Cyclic Groups of Order pqrs	2022	Gergely Kiss Romanos Diogenes Malikiosis Gábor Somlai Máté Vizer
+	Spectral sets and tiles in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mo>×</mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math>	2022	Thomas Fallon Gergely Kiss Gábor Somlai
+	CI-property of $C_p^2 \times C_n$ and $C_p^2 \times C_q^2$ for digraphs	2022	I. Kovács Mikhail Muzychuk Péter P. Pálfy Grigory Ryabov Gábor Somlai
+	On the diameter of Cayley graphs of classical groups with generating sets containing a transvection	2022	Martino Garonzi Zoltán Halasi Gábor Somlai
+	Optimal embedded and enclosing isosceles triangles	2022	Áron Ambrus Mónika Csikós Gergely Kiss János Pach Gábor Somlai
+	Tiling and weak tiling in $(\mathbb{Z}_p)^d$	2022	Gergely Kiss Dávid Matolcsi Máté Matolcsi Gábor Somlai
+	A new proof of Rédei's theorem on the number of directions	2022	Gábor Somlai
+	Fuglede’s conjecture holds on ℤ_{𝕡}²×ℤ_{𝕢}	2021	Gergely Kiss Gábor Somlai
+ PDF Chat	The Cayley isomorphism property for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msubsup><mml:mi>ℤ</mml:mi> <mml:mrow><mml:mi>p</mml:mi></mml:mrow> <mml:mn>3</mml:mn> </mml:msubsup><mml:mo>×</mml:mo><mml:msub><mml:mi>ℤ</mml:mi> <mml:mi>q</mml:mi> </mml:msub></mml:mrow></mml:math>	2021	Gábor Somlai Mikhail Muzychuk
+	Spectral sets and tiles in $\mathbb{Z}_p^2 \times \mathbb{Z}_q^2$	2021	Thomas Fallon Gergely Kiss Gábor Somlai
+	Spectral sets and tiles in Z2p×Z2q	2021	Thomas Fallon Gergely Kiss Gábor Somlai
+	Special directions on the finite affine plane	2021	Gergely Kiss Gábor Somlai
+ PDF Chat	On the discrete Fuglede and Pompeiu problems	2020	Gergely Kiss Romanos Diogenes Malikiosis Gábor Somlai Máté Vizer
+	Minimum area isosceles containers	2020	Gergely Kiss János Pach Gábor Somlai
+ PDF Chat	Minimum Area Isosceles Containers	2020	Gergely Kiss János Pach Gábor Somlai
+	Minimum area isosceles containers	2020	Gergely Kiss János Pach Gábor Somlai
+	Fuglede's conjecture holds for cyclic groups of order $pqrs$	2020	Gergely Kiss Romanos Diogenes Malikiosis Gábor Somlai Máté Vizer
+	Fuglede's conjecture holds on $\mathbb{Z}_p^2 \times \mathbb{Z}_q$	2019	Gergely Kiss Gábor Somlai
+	Spectral sets in $\Z_{p^2qr}$ tile	2019	Gábor Somlai
+	Spectral sets in $\mathbb{Z}_{p^2qr}$ tile	2019	Gábor Somlai
+	The Cayley isomorphism property for $\mathbb{Z}_p^3 \times \mathbb{Z}_q$	2019	Mikhail Muzychuk Gábor Somlai
+	Fuglede's conjecture holds on $\mathbb{Z}_p^2 \times \mathbb{Z}_q$	2019	Gergely Kiss Gábor Somlai
+	Spectral sets in $\mathbb{Z}_{p^2qr}$ tile	2019	Gábor Somlai
+ PDF Chat	Associative idempotent nondecreasing functions are reducible	2018	Gergely Kiss Gábor Somlai
+	The Cayley Isomorphism Property for Cayley Maps	2018	Mikhail Muzychuk Gábor Somlai
+	Associative idempotent nondecreasing functions are reducible	2017	Gergely Kiss Gábor Somlai
+ PDF Chat	A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements	2017	Gergely Kiss Gábor Somlai
+	Associative idempotent nondecreasing functions are reducible	2017	Gergely Kiss Gábor Somlai
+	A characterization of $n$-associative, monotone, idempotent functions on an interval that have neutral elements	2016	Gergely Kiss Gábor Somlai
+	A characterisation of associative idempotent nondecreasing functions with neutral elements	2016	Gergely Kiss Miklós Laczkovich Jean‐Luc Marichal Gábor Somlai Bruno Teheux
+	The Cayley isomorphism property for Cayley maps	2016	Mikhail Muzychuk Gábor Somlai
+ PDF Chat	DECOMPOSITION OF BALLS IN	2016	Gergely Kiss Gábor Somlai
+	The Cayley isomorphism property for Cayley maps	2016	Mikhail Muzychuk Gábor Somlai
+	A characterization of $n$-associative, monotone, idempotent functions on an interval that have neutral elements	2016	Gergely Kiss Gábor Somlai
+ PDF Chat	The Cayley isomorphism property for groups of order 8p	2015	Gábor Somlai
+ PDF Chat	Non-expander Cayley Graphs of Simple Groups	2015	Gábor Somlai
+	Non-expander Cayley graphs of simple groups	2013	Gábor Somlai
+	The Cayley isomorphism property for groups of order 8p	2013	Gábor Somlai
+	Non-expander Cayley graphs of simple groups	2013	Gábor Somlai
+	The Cayley isomorphism property for groups of order 8p	2013	Gábor Somlai
+	The Cayley isomorphism property for groups of order p^3q	2013	Gábor Somlai
+ PDF Chat	Elementary abelian p-groups of rank 2p+3 are not CI-groups	2011	Gábor Somlai
+	Csoportok és más algebrai struktúrák = Groups and other algebraic structures	2011	Péter P. Pálfy Miklós Abért Piroska Csörgő M. Domokos Alice Fialowski Péter E. Frenkel Zoltán Halasi Pál Hegedüs Emil W. Kiss Piroska Lakatos
+	Elementary Abelian p-groups of rank 2p+3 are not CI-groups	2009	Gábor Somlai

Common Coauthors

Coauthor	Papers Together
Gergely Kiss	33
Mikhail Muzychuk	7
Máté Matolcsi	5
János Pach	5
Thomas Fallon	4
Zoltán Halasi	3
Romanos Diogenes Malikiosis	3
Máté Vizer	3
Péter P. Pálfy	3
A. M. Marko	2
Mónika Csikós	2
Tamás Terpai	2
Martino Garonzi	2
Grigory Ryabov	2
Dávid Matolcsi	2
Áron Ambrus	2
Itay Londner	2
Itay Londner	1
Zoltán Lóránt Nagy	1
L. Márki	1
Péter E. Frenkel	1
Attila Maróti	1
Piroska Lakatos	1
Alice Fialowski	1
Azita Mayeli	1
R. Wiegandt	1
M. Domokos	1
Miklós Laczkovich	1
Jean‐Luc Marichal	1
Endre Szabó	1
Ánh Pham Ngoc	1
Pál Hegedüs	1
Miklós Abért	1
István Kovács	1
Piroska Csörgő	1
Emil W. Kiss	1
Bruno Teheux	1
László Pyber	1
I. Kovács	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Fuglede’s conjecture is false in 5 and higher dimensions	2004	Terence Tao	9
+	Commuting self-adjoint partial differential operators and a group theoretic problem	1974	Bent Fuglede	9
+	Complex Hadamard matrices and the spectral set conjecture	2006	Mihail N. Kolountzakis Máté Matolcsi	8
+ PDF Chat	The Fuglede conjecture holds in ℤp× ℤp	2017	Alex Iosevich Azita Mayeli Jonathan Pakianathan	7
+	Fuglede’s conjecture fails in dimension 4	2005	Máté Matolcsi	7
+	On Vanishing Sums of Roots of Unity	2000	T. Y. Lam Ka Hin Leung	7
+ PDF Chat	Tiles with no spectra	2006	Mihail N. Kolountzakis Máté Matolcsi	7
+	Fuglede’s conjecture fails in 4 dimensions over odd prime fields	2019	Samuel J. Ferguson Nat Sothanaphan	7
+ PDF Chat	Fuglede's conjecture on cyclic groups of order pnq	2018	Romanos Diogenes Malikiosis Mihail N. Kolountzakis	7
+ PDF Chat	Some reductions of the spectral set conjecture to integers	2013	Dorin Ervin Dutkay Chun‐Kit Lai	7
+ PDF Chat	On the discrete Fuglede and Pompeiu problems	2020	Gergely Kiss Romanos Diogenes Malikiosis Gábor Somlai Máté Vizer	7
+ PDF Chat	THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS	2002	Izabella Łaba	6
+	Tiling the Integers with Translates of One Finite Set	1999	Ethan M. Coven Aaron Meyerowitz	6
+ PDF Chat	On Fuglede's Conjecture and the Existence of Universal Spectra	2006	Bálint Farkas Máté Matolcsi Péter Móra	6
+ PDF Chat	Fuglede’s conjecture for a union of two intervals	2001	Izabella Łaba	5
+ PDF Chat	Tiles with no spectra in dimension 4	2006	Bálint Farkas Révész Szilárd Gy.	5
+ PDF Chat	Further restrictions on the structure of finite CI-groups	2007	Cai Heng Li Zai Ping Lu Péter P. Pálfy	5
+	An Elementary Abelian Group of Rank 4 Is a CI-Group	2001	Mitsugu Hirasaka Mikhail Muzychuk	5
+	Associative monotonic operations in fuzzy set theory	1984	E. Czogała Józef Drewniak	4
+	Ádám's conjecture is true in the square-free case	1995	Mikhail Muzychuk	4
+ PDF Chat	Tiling sets and spectral sets over finite fields	2016	Charlotte Aten B. Ayachi E. Bau Daniel Fitzpatrick Alex Iosevich H. Liu Adam Lott I. MacKinnon Shir Maimon Siyu Nan	4
+	Graphs with circulant adjacency matrices	1970	B. Elspas James Turner	4
+ PDF Chat	CI-groups with respect to ternary relational structures: new examples	2013	Edward Dobson Pablo Spiga	3
+	Minimum-area enclosing triangle with a fixed angle	2013	Prosenjit Bose Jean-Lou De Carufel	3
+	Fuglede’s conjecture holds on ℤ_{𝕡}²×ℤ_{𝕢}	2021	Gergely Kiss Gábor Somlai	3
+	On isomorphisms of finite Cayley graphs—a survey	2002	Cai Heng Li	3
+	Triangle in a triangle: On a problem of Steinhaus	1993	K.A. Post	3
+	Equilateral Triangles and Triangles	2002	Richard Jerrard John E. Wetzel	3
+	On Ádám's conjecture for circulant graphs	1997	Mikhail Muzychuk	3
+	Zur Theorie der einfach transitiven Permutationsgruppen	1936	Helmut Wielandt	3
+	The isomorphism problem for Cayley ternary relational structures for some abelian groups of order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mn>8</mml:mn><mml:mi>p</mml:mi></mml:math>	2010	Edward Dobson	3
+	On Triangles Circumscribing Plane Convex Sets	1953	H. G. Eggleston	3
+	An elementary abelian group of large rank is not a CI-group	2003	Mikhail Muzychuk	3
+	Addendum to "Fuglede's conjecture fails in 4 dimensions over odd prime fields"	2019	Samuel J. Ferguson Nat Sothanaphan	3
+ PDF Chat	The Fuglede conjecture for convex domains is true in all dimensions	2022	Nir Lev Máté Matolcsi	3
+	Isomorphism of circulant graphs and digraphs	1979	Brian Alspach T. D. Parsons	3
+ PDF Chat	Convex disks can cover their shadow	1990	Géza Kós Jenõ Törõcsik	3
+	Minimum-Volume Enclosing Ellipsoids and Core Sets	2005	Piyush Kumar E. Alper Yıldırım	3
+ PDF Chat	Fourier bases and a distance problem of Erd\H os	1999	Alex Iosevich Nets Hawk Katz Steen Pedersen	3
+ PDF Chat	On the Cayley isomorphism problem for a digraph with 24 vertices	2008	Pablo Spiga	3
+	On the minimal volume of simplices enclosing a convex body	2014	Atsushi Kanazawa	3
+ PDF Chat	Elementary abelian p-groups of rank 2p+3 are not CI-groups	2011	Gábor Somlai	3
+ PDF Chat	Finite Permutation Groups	1964		3
+ PDF Chat	Circumscribed Polygons of Small Area	2008	Sergey Bereg Prosenjit Bose Adrian Dumitrescu Ferrán Hurtado Pável Valtr	3
+	Elementary abelian groups of rank 5 are DCI-groups	2018	Yan‐Quan Feng István Kovács	3
+ PDF Chat	Growth and generation in SL<sub>2</sub>(ℤ∕pℤ)	2008	H. A. Helfgott	2
+	Integer valued means	2013	Curtis D. Bennett W. Charles Holland Gábor J. Székely	2
+	Isomorphism Problem for Relational Structures with a Cyclic Automorphism	1987	Péter P. Pálfy	2
+	Tesselation of integers	1977	Donald J. Newman	2
+	Isomorphisms of Cayley graphs. II	1979	László Babai Péter Frankl	2