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
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 79066
Deposited By: ep_importer_pure
Deposited On: 10 May 2016 23:01
Refereed?: Yes
Published?: Published
Last Modified: 27 Feb 2020 03:03
URI: https://eprints.lancs.ac.uk/id/eprint/79066

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