User Ashot Minasyan

26 votes

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Is the isomorphism problem for amenable groups decidable?

answered Mar 1, 2013 at 14:57

17 votes

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Is $G=\left<b_1, b_2, b_3 | [b_i^p, b_j^p]=1, \forall i,j=1,2,3\right>$ large?

answered Apr 26, 2012 at 16:02

15 votes

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Burnside problem for hyperbolic groups?

answered Nov 29, 2011 at 10:26

14 votes

Residually nilpotent vs residually p

answered Mar 6, 2013 at 14:00

14 votes

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Commutator problem vs conjugacy/word problem

answered May 12, 2021 at 16:17

11 votes

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The Higman group II

answered Feb 3, 2013 at 0:03

10 votes

Groups with no bounds on the size of abelian subgroups without infinite ones

answered Nov 15, 2011 at 19:59

10 votes

Is an HNN extension of a virtually torsion-free group virtually torsion-free?

answered May 3, 2019 at 17:14

8 votes

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Does every group embed into a co-hopfian group?

answered Apr 23, 2014 at 9:56

7 votes

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Commutator Width of a direct limit of hyperbolic groups

answered Dec 12, 2013 at 18:03

7 votes

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Products of subgroups of a free group

answered Apr 9, 2015 at 23:23

6 votes

Exponent of a group

answered Jul 16, 2010 at 11:12

5 votes

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Solving equations in hyperbolic groups and subgroups of isometry of a Gromov hyperbolic space

answered Nov 9, 2023 at 11:31

4 votes

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Amalgamation of finitely generated finite exponent groups

answered Aug 23, 2023 at 9:59

4 votes

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Measuring products of finitely generated subgroups of free groups

answered Dec 22, 2014 at 16:14

4 votes

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Limits of conjugated subgroups

answered Jan 19, 2015 at 17:47

4 votes

a question on rank of fundamental group

answered May 10, 2014 at 22:11

3 votes

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p-Group satisfying the minimal condition on abelian subgroups

answered Nov 18, 2016 at 16:41

3 votes

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Calculations with relation modules

answered Apr 5, 2013 at 13:21

3 votes

A sequence of finite groups

answered Jun 6, 2012 at 14:09

3 votes

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Are double cosets of cyclic subgroups separable in a special linear group?

answered Aug 4, 2022 at 13:43

2 votes

Groups with trivial centralizer-connected component

answered Oct 19, 2011 at 10:07

2 votes

Normal generators of finite index subgroups in a free group

answered Sep 29, 2014 at 16:31

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23 Answers

Is the isomorphism problem for amenable groups decidable?

Is $G=\left<b_1, b_2, b_3 | [b_i^p, b_j^p]=1, \forall i,j=1,2,3\right>$ large?

Burnside problem for hyperbolic groups?

Residually nilpotent vs residually p

Commutator problem vs conjugacy/word problem

The Higman group II

Groups with no bounds on the size of abelian subgroups without infinite ones

Is an HNN extension of a virtually torsion-free group virtually torsion-free?

Does every group embed into a co-hopfian group?

Commutator Width of a direct limit of hyperbolic groups

Products of subgroups of a free group

Exponent of a group

Solving equations in hyperbolic groups and subgroups of isometry of a Gromov hyperbolic space

Amalgamation of finitely generated finite exponent groups

Measuring products of finitely generated subgroups of free groups

Limits of conjugated subgroups

a question on rank of fundamental group

p-Group satisfying the minimal condition on abelian subgroups

Calculations with relation modules

A sequence of finite groups

Are double cosets of cyclic subgroups separable in a special linear group?

Groups with trivial centralizer-connected component

Normal generators of finite index subgroups in a free group