The Proalgebraic Completion of Rigid Groups

Hyman Bass, Alexander Lubotzky, Andy R. Magid, Shahar Mozes

Type: Article

Publication Date: 2002-01-01

Citations: 39

DOI: https://doi.org/10.1023/a:1021221727311

View Publication

Download PDF

Locations

Geometriae Dedicata - View
Deep Blue (University of Michigan) - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the proalgebraic completion of a finitely generated group	2002	Andy R. Magid
+	Profinite Completion of Free Pro-𝒞 Groups	2024	Tamar Bar-On
+	Pro-torsion completions of abelian groups	1993	George Peschke Peter Symonds
+	Completions of paratopological groups and bounded sets	2016	Manuel Sanchis Mikhail Tkachenko
+	Grothendieck's problem on profinite completions and representations of groups	1990	В. П. Платонов O. I. Tavgen′
+	The profinite completion of relatively hyperbolic virtually special groups	2023	Pavel Zalesskii
+	The Malcev completion for groupoids and operads	2017	Benoît Fresse
+	Group extensions whose profinite completion is exact	1978	H. R. Schneebeli
+ PDF Chat	Strict completions of $\cal L_0^*$-groups	1992	Roman Frič Fabio Zanolin
+	Group completions and Kleinian groups	1978	William Floyd
+	Pro-affine Algebraic Groups	2001
+	Pro-Affine Algebraic Groups	1973	F. Minbashian
+	Pro-Affine Algebraic Groups	1969	G. Hochschild G. D. Mostow
+ PDF Chat	The true prosoluble completion of a group: Examples and open problems	2006	Goulnara Arzhantseva Pierre de la Harpe Delaram Kahrobaei Zoran Šunić
+	The profinite completion of certain torsion p-groups	2012	Rostislav Grigorchuk Wolfgang Herfort Pavel Zalesskii
+	Torsion in pro-finite completions of torsion-free groups	1990	Martin Evans
+	Completions of regular rings	1976	K. R. Goodearl
+	Rigid Metabelian Pro-p-Groups	2014	S. G. Afanas’eva N. S. Romanovskiĭ
+	Torsion in pro-p completions of torsion-free groups	1999	Zoé Chatzidakis
+	ENDOMORPHICALLY COMPLETE GROUPS	1977	Dietmar Schweigert

Works That Cite This (39)

Action	Title	Year	Authors
+	Linear Representations of the Automorphism Group of a Free Group	2009	Fritz Grunewald Alexander Lubotzky
+	Rational singularities, quiver moment maps, and representations of surface groups	2018	Nero Budur
+	Poincaré series of Lie lattices and representation zeta functions of arithmetic groups	2017	Michele Zordan
+	Effective and Infinite-Rank Superrigidity in the Context of Representation Stability	2019	Nate Harman
+	Linear Representations of the Automorphism Group of a Free Group	2006	Fritz Grunewald Alexander Lubotzky
+ PDF Chat	Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A<sub>2</sub>	2016	Nir Avni Benjamin Klopsch Uri Onn Christopher Voll
+	Representation Growth of Compact Special Linear Groups of degree two	2018	M. Hassain Pooja Singla
+	Representation Growth of Special Compact Linear Groups of Order Two	2018	M. Hassain Pooja Singla
+ PDF Chat	Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting	2016	J. P. Pridham
+ PDF Chat	A Pro-algebraic Fundamental Group for Topological Spaces	2023	Christopher Deninger

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	Groups of integral representation type	1980	Hyman Bass
+	Varieties of representations of finitely generated groups	1985	Alexander Lubotzky Andy R. Magid
+ PDF Chat	Unipotent and prounipotent groups: cohomology and presentations	1982	Alexander Lubotzky Andy R. Magid
+	Deformations of representations	1977	Georges Pinczon
+	Theorems of Jordan and Burnside for algebraic groups	1983	Hyman Bass
+	Remarks on the Cohomology of Groups	1964	André Weil
+	Théorèmes de finitude en cohomologie galoisienne	1964	Armand Borel Jean-Pierre Serre
+	Solution of the congruence subgroup problem for SL n (n ≥ 3) and Sp2n (n ≥ 2)	1967	Hyman Bass John Milnor Jean-Pierre Serre
+	Cohomology of unipotent and prounipotent groups	1982	Alexander Lubotsky Andy R. Magid
+ PDF Chat	Nonarithmetic Superrigid Groups: Counterexamples to Platonov's Conjecture	2000	Hyman Bass Alexander Lubotzky