Forum Problem Lists Definitions FAQ

8.66 (1982)

Solved

Construct examples of residually finite groups which would separate Shunkov’s classes of groups with $(a, b)$-finiteness condition, (weakly) conjugacy biprimitively finite groups and (weakly) biprimitively finite groups (see 6.57). Can one derive such examples from Golod’s construction?

Contributor: A. I. Sozutov

Progress

Such examples are constructed (L. Hammoudi, Nil-algèbres non-nilpotentes et groupes périodiques infinis (Doctor Thesis), Strasbourg, 1996; A. V. Rozhkov, Finiteness conditions in groups of automorphisms of trees (Doctor of Sci. Thesis), Krasnoyarsk, 1997; Algebra and Logic, 37, no. 3 (1998), 192–203).

Comments

All comments are the responsibility of the user. Comments appearing on this page are not verified for correctness. Please keep posts mathematical and on topic. If you want to submit a proof (or a partial proof), please use the dedicated proof submission form rather than posting it in the comments.
Order by newest first or oldest first.

No comments yet. Be the first to comment.

Proof claims

Proof claims are the responsibility of the submitter. Appearance here does not mean the claim has been checked for mathematical correctness. Moderators only screen for spam, abuse, and obviously low-effort submissions.

No proof claims yet.