Giles Gardam's user avatar
Giles Gardam's user avatar
Giles Gardam's user avatar
Giles Gardam
  • Member for 11 years, 9 months
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40 votes

What is the current status of the Kaplansky zero-divisor conjecture for group rings?

20 votes

Proving that a countable group is not finitely generated

18 votes

Units in the group ring over fours group after Gardam

16 votes

dichotomy in hyperbolic groups

15 votes

Examples of locally hyperbolic groups

13 votes
Accepted

Dehn functions of finitely presented simple groups

12 votes

Prove these are not surface groups

12 votes

Is It possible to determine whether the given finitely presented group is residually finite with MAGMA or GAP?

11 votes

Does there exist an automorphism of a finitely generated group with periodic points of unbounded period?

10 votes
Accepted

Nonisomorphic central products on the same pair of groups?

10 votes
Accepted

Primitive elements in a free group with trivial projection

9 votes
Accepted

Finite generation of intersections of free subgroups

9 votes
Accepted

Subgroup membership problem in simple groups

9 votes

Towards the complex unit conjecture

9 votes
Accepted

Are groups with every proper, non-trivial subgroup infinite cyclic simple?

8 votes

Quasi-isometry groups of metric spaces

6 votes

Is there a one relator group with property (T)?

6 votes
Accepted

Torsion-free subgroup of affine group

6 votes
Accepted

Examples of Noetherian integral group ring

4 votes
Accepted

Existence of m infinite subsets in an arbitrary group such that all products of one element from each (in order) are distinct

4 votes

Direct product of free groups in $\mathrm{SL}_3(\mathbb{Z})$

4 votes

Groups whose finite index subgroups of fixed index are isomorphic

3 votes
Accepted

Catalogue of groups with short finite presentations

3 votes
Accepted

Permutations of a group that are eventually left translations

3 votes

Examples of IF-groups

2 votes

Is there a way of canonically labelling permutation groups?

2 votes

Automorphisms of virtually abelian groups

2 votes

Group ring and left zero divisor

1 vote

Zero divisor conjecture for finite fields