Power sets and soluble subgroups

Martin W. Liebeck, Aner Shalev

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that for certain positive integers k, such as 12, a normal subgroup of a finite group which consists of kth powers is necessarily soluble. This gives rise to new solubility criteria, and solves an open problem from a 2013 paper by the authors.

Original languageAmerican English
Pages (from-to)3757-3760
Number of pages4
JournalProceedings of the American Mathematical Society
Volume142
Issue number11
DOIs
StatePublished - 2014

Bibliographical note

Publisher Copyright:
© 2014 American Mathematical Society.

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