Groups with Identical k-Profiles

Glauberman, George and Grabowski, Łukasz (2015) Groups with Identical k-Profiles. Theory of Computing, 11. pp. 395-401.

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Abstract

We show that for $1 \le k \le \sqrt{2\log_3 n}-(5/2)$, the multiset of isomorphism types of $k$-generated subgroups does not determine a group of order at most $n$. This answers a question raised by Tim Gowers in connection with the Group Isomorphism problem.

Item Type:
Journal Article
Journal or Publication Title:
Theory of Computing
ID Code:
79066
Deposited By:
Deposited On:
10 May 2016 23:01
Refereed?:
Yes
Published?:
Published
Last Modified:
29 Mar 2020 04:31