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    Rights statement: © 2015 George Glauberman and Łukasz Grabowski Creative Commons License Creative Commons License Attribution Licensed under a Creative Commons Attribution License (CC-BY)

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Groups with Identical k-Profiles

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
Article number15
<mark>Journal publication date</mark>23/12/2015
<mark>Journal</mark>Theory of Computing
Volume11
Number of pages7
Pages (from-to)395-401
Publication StatusPublished
<mark>Original language</mark>English

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.