Some Results and Problems in the Theory of Word Maps

Aner Shalev

Type: Book-Chapter

Publication Date: 2013-01-01

Citations: 41

DOI: https://doi.org/10.1007/978-3-642-39286-3_22

View Publication

Locations

Bolyai Society mathematical studies - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A survey on power maps in groups	2024	Saikat Panja Anupam Singh
+	Fibers of word maps and some applications	2012	Michael Larsen Aner Shalev
+	Word maps with constants on symmetric groups	2022	Jakob Schneider Andreas Thom
+ PDF Chat	Word maps on perfect algebraic groups	2018	Nikolai Gordeev Boris Kunyavskiı̆ Eugene Plotkin
+	Word maps on perfect algebraic groups	2018	Nikolai Gordeev Boris Kunyavskiı̆ Eugene Plotkin
+	Word maps on perfect algebraic groups	2018	Nikolai Gordeev Boris Kunyavskiı̆ Eugene I. Plotkin
+	A survey of recent results in groups and orderings: word problems, embeddings and amalgamations	2011	V. V. Bludov A. M. W. Glass
+	On non-surjective word maps on $$\textrm{PSL}_{2}(\mathbb {F}_{q})$$	2023	Arindam Biswas Jyoti Prakash Saha
+	The Probability Distribution of Word Maps on Finite Groups	2018	William M. Cocke Meng-Che Ho
+	The probability distribution of word maps on finite groups	2018	William Cocke Meng-Che Ho
+	The Probability Distribution of Word Maps on Finite Groups	2018	William Cocke Meng-Che Ho
+ PDF Chat	Word maps with constants on symmetric groups	2023	Jakob Schneider Andreas Thom
+ PDF Chat	The Word Problem for Lattice-Ordered Groups	1982
+	Word maps and Waring type problems	2007	Michael Larsen Aner Shalev
+	A weak embedding property of alternating group on 7 letters	1977	A.A Liggonah
+	Images of word maps in finite simple groups	2012	Alexander Lubotzky
+	Bicontractive projections in sequence spaces and a few related kinds of maps	1989	Marco Baronti Pier Luigi Papini
+	Automorphic word maps and Amit--Ashurst conjecture	2023	Harish Kishnani Amit Kulshrestha
+	A Brief Survey of Recent Results on Pólya Groups	2024	Jaitra Chattopadhyay Anupam Saikia
+	Surjectivity of word maps on special linear groups of degree 2	2024	Mai Hoang Bien M. Ramezan-Nassab Nguyen Trung

Works That Cite This (40)

Action	Title	Year	Authors
+ PDF Chat	Most words are geometrically almost uniform	2020	Michael Jeffrey Larsen
+	Word maps, word maps with constants and representation varieties of one-relator groups	2017	Nikolai Gordeev Boris Kunyavskiı̆ Eugene Plotkin
+	Automorphism-invariant positive definite functions on free groups	2019	C. Benoît Michael Magee Doron Puder
+ PDF Chat	Word maps on perfect algebraic groups	2018	Nikolai Gordeev Boris Kunyavskiı̆ Eugene Plotkin
+	On the model theory of higher rank arithmetic groups	2020	Nir Avni Chen Meiri
+	Size of free groups in varieties generated by finite groups	2019	William Cocke
+ PDF Chat	Matrix group integrals, surfaces, and mapping class groups I: U(n)	2019	Michael Magee Doron Puder
+	Some orbits of free words that are determined by measures on finite groups	2020	Liam Hanany Chen Meiri Doron Puder
+ PDF Chat	Geometry of word equations in simple algebraic groups over special fields	2018	Nikolai Gordeev Boris Kunyavskiı̆ Eugene Plotkin
+ PDF Chat	Verbal width in anabelian groups	2016	Nikolay Nikolov

Works Cited by This (87)

Action	Title	Year	Authors
+	Random walks on the symmetric group generated by conjugacy classes	1996	Persi Diaconis Nathan Lulov
+ PDF Chat	Character theory of finite groups	1999	I. M. Isaacs
+ PDF Chat	Additive number theory: the classical bases	1997	S Axier E Gehring Paul R. Halmos Melvyn B. Nathanson S Axler F. W. Gehring
+ PDF Chat	On a question of B. H. Neumann	2002	Robert M. Guralnick Igor Pak
+ PDF Chat	Products of Conjugacy Classes in Groups	1985	Zvi Arad Marcel Herzog
+	Topics in Galois Theory	2011	Jean-Pierre Serre
+	Commutators of matrices with coefficients from the field of two elements	1962	Roger C. Thompson
+ PDF Chat	On the conjectures of J. Thompson and O. Ore	1998	Erich W. Ellers Nikolai Gordeev
+	<i>p</i>-adic analytic groups	1999	J. D. Dixon M. P. F. Du Sautoy A. Mann Dan Segal
+ PDF Chat	Growth and generation in SL<sub>2</sub>(ℤ∕pℤ)	2008	H. A. Helfgott