User ADL

72 votes

Examples of eventual counterexamples

answered Jun 15, 2010 at 8:38

16 votes

Accepted

Exponent of a group

answered Jul 16, 2010 at 11:36

15 votes

Classes of groups with polynomial time isomorphism problem

answered Jul 20, 2023 at 8:35

12 votes

Accepted

Torsion-free virtually free-by-cyclic groups

answered Feb 28, 2023 at 17:58

7 votes

books well-motivated with explicit examples

answered Feb 1, 2011 at 9:39

6 votes

Accepted

Nontriviality of one-relator products

answered Aug 23, 2022 at 9:17

5 votes

Accepted

Units of the group algebra of a free group

answered Dec 4, 2023 at 13:12

4 votes

Words which are not inverted by any endomorphism

answered Sep 14, 2023 at 10:38

4 votes

Groups acting non-properly cocompactly on hyperbolic spaces

answered Nov 30, 2023 at 9:05

4 votes

Accepted

infinite groups in which all proper subgroups are almost-malnormal

answered Sep 13, 2017 at 14:15

3 votes

Centralizers in amalgamated free products

answered Apr 1, 2020 at 16:18

3 votes

Results from abstract algebra which look wrong (but are true)

answered Jan 20, 2023 at 16:40

3 votes

free group of finite rank can contain free groups of infinite rank as a subgroup

answered Sep 9, 2011 at 11:44

2 votes

Accepted

What can be said about a group from its presentation?

answered Jul 12, 2010 at 11:09

2 votes

$C'(\lambda)$ small cancellation for $\lambda < \frac{1}{6}$

answered Jul 23 at 9:20

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15 Answers

Examples of eventual counterexamples

Exponent of a group

Classes of groups with polynomial time isomorphism problem

Torsion-free virtually free-by-cyclic groups

books well-motivated with explicit examples

Nontriviality of one-relator products

Units of the group algebra of a free group

Words which are not inverted by any endomorphism

Groups acting non-properly cocompactly on hyperbolic spaces

infinite groups in which all proper subgroups are almost-malnormal

Centralizers in amalgamated free products

Results from abstract algebra which look wrong (but are true)

free group of finite rank can contain free groups of infinite rank as a subgroup

What can be said about a group from its presentation?

$C'(\lambda)$ small cancellation for $\lambda < \frac{1}{6}$