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2014 On groups with a class-preserving outer automorphism
Peter Brooksbank, Matthew Mizuhara
Involve 7(2): 171-179 (2014). DOI: 10.2140/involve.2014.7.171

Abstract

Four infinite families of 2-groups are presented, all of whose members possess an outer automorphism that preserves conjugacy classes. The groups in these families are central extensions of their predecessors by a cyclic group of order 2. For each integer r>1, there is precisely one 2-group of nilpotency class r in each of the four families. All other known families of 2-groups possessing a class-preserving outer automorphism consist entirely of groups of nilpotency class 2.

Citation

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Peter Brooksbank. Matthew Mizuhara. "On groups with a class-preserving outer automorphism." Involve 7 (2) 171 - 179, 2014. https://doi.org/10.2140/involve.2014.7.171

Information

Received: 4 August 2012; Revised: 7 November 2012; Accepted: 17 November 2012; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1296.20022
MathSciNet: MR3133717
Digital Object Identifier: 10.2140/involve.2014.7.171

Subjects:
Primary: 20D15, 20D45, 20E45

Rights: Copyright © 2014 Mathematical Sciences Publishers

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Vol.7 • No. 2 • 2014
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