Residually Finite Groups

2010 ◽  
pp. 37-55
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Michel Coornaert
Keyword(s):  
Finite Groups ◽  
Residually Finite ◽  
Residually Finite Groups

scholarly journals On Groups of Automorphisms of Residually Finite Groups

2000 ◽  
Vol 231 (2) ◽  
pp. 561-573
Author(s):  
Ulderico Dardano ◽  
Bettina Eick ◽  
Martin Menth
Keyword(s):  
Finite Groups ◽  
Residually Finite ◽  
Residually Finite Groups ◽  
Groups Of Automorphisms

scholarly journals An uncountable family of finitely generated residually finite groups

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Hip Kuen Chong ◽  
Daniel T. Wise
Keyword(s):  
Free Group ◽  
Finite Groups ◽  
Finitely Generated ◽  
Residually Finite ◽  
Uncountable Family ◽  
Residually Finite Groups ◽  
Rank 2

Abstract We study a family of finitely generated residually finite groups. These groups are doubles F 2 * H F 2 F_{2}*_{H}F_{2} of a rank-2 free group F 2 F_{2} along an infinitely generated subgroup 𝐻. Varying 𝐻 yields uncountably many groups up to isomorphism.

Actions and Invariants of Residually Finite Groups: Asymptotic Methods

2010 ◽  
pp. 2335-2391
Author(s):  
Miklós Abért ◽  
Damien Gaboriau ◽  
Fritz Grunewald
Keyword(s):  
Finite Groups ◽  
Asymptotic Methods ◽  
Residually Finite ◽  
Residually Finite Groups

scholarly journals Hydra group doubles are not residually finite

2016 ◽  
Vol 8 (2) ◽  
Author(s):  
Kristen Pueschel
Keyword(s):  
Finite Groups ◽  
Recursive Function ◽  
Dehn Functions ◽  
Residually Finite ◽  
Residually Finite Groups ◽  
Finitely Presented

AbstractIn 2013, Kharlampovich, Myasnikov, and Sapir constructed the first examples of finitely presented residually finite groups with large Dehn functions. Given any recursive function

An embedding theorem for certain residually finite groups

1996 ◽  
Vol 67 (3) ◽  
pp. 177-182 ◽  
Author(s):  
J. S. Wilson ◽  
P. A. Zalesskii
Keyword(s):  
Finite Groups ◽  
Embedding Theorem ◽  
Residually Finite ◽  
Residually Finite Groups

scholarly journals APPROXIMATING THE FIRST L2-BETTI NUMBER OF RESIDUALLY FINITE GROUPS

2011 ◽  
Vol 03 (02) ◽  
pp. 153-160 ◽  
Author(s):  
W. LÜCK ◽  
D. OSIN
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Betti Number ◽  
Betti Numbers ◽  
Torsion Group ◽  
Normal Subgroups ◽  
Finitely Generated ◽  
Residually Finite ◽  
Residually Finite Group ◽  
Residually Finite Groups

We show that the first L2-betti number of a finitely generated residually finite group can be estimated from below by using ordinary first betti numbers of finite index normal subgroups. As an application, we construct a finitely generated infinite residually finite torsion group with positive first L2-betti number.

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