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MAXIMUM SIZE OF SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS IN FINITE METACYCLIC p-GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  28 February 2012

S. FOULADI  and
R. ORFI
S. FOULADI*
Affiliation:
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran (email: s-fouladi@araku.ac.ir)
R. ORFI
Affiliation:
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran (email: r-orfi@araku.ac.ir)
*
✉For correspondence; e-mail: s-fouladi@araku.ac.ir
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Abstract

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Let G be a finite group. A subset X of G is a set of pairwise noncommuting elements if any two distinct elements of X do not commute. In this paper we determine the maximum size of these subsets in any finite nonabelian metacyclic p-group for an odd prime p.

Keywords

metacyclic p-groupcoveringpairwise noncommuting elements

MSC classification

Secondary: 20D15: Nilpotent groups, $p$-groups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 1 , February 2013 , pp. 18 - 23
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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