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Results tagged with reference-request
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user 24447
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
Accepted
Permutations of a group that are eventually left translations
Theorem (Elek–Szabo). Let $G$ be an infinite residually finite hyperbolic group with Property (T). Then $P_G$ is a finitely generated sofic group that is not residually amenable.
That's Theorem 3 of E …
- 3,736
21
votes
Accepted
Is the number of varieties of groups still unknown?
The number of varieties of groups is $2^{\aleph_0}$ as shown by Olshanskii in
Ol’shanskiĭ, A. Yu., On the finite basis property of identities in groups, Izv. Akad. Nauk SSSR, Ser. Mat. 34, 376-384 (19 …
- 3,736
5
votes
Accepted
Catalogue of groups with short finite presentations
I would very much like to have such a database and would like to contribute to its development. Prompted by this question, we talked about what such a database could look like (e.g. in terms of groups …
- 3,736
4
votes
Examples of IF-groups
Like Misha and Henry, I'll also add to the list of constraints on IF-groups rather than giving any examples. In The Surface Group Conjectures for groups with two generators we prove:
Theorem. Let $G$ …
- 3,736
15
votes
Examples of locally hyperbolic groups
A locally hyperbolic group is in particular coherent (i.e. locally finitely presented), which is already a special property. To add to the examples already given by Sam Nead: ascending HNN extensions …
- 3,736