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AAA76 - 76th Workshop on General Algebra (76. Arbeitstagung Allgemeine Algebra)
May 22-25, 2008
Department of Algebra, Johannes Kepler University Linz
Linz, Austria

Organizers
Erhard Aichinger, Peter Mayr, Matt Nickodemus, Günter Pilz

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Arithmetical properties of the orders of the centralizers in a finite group
by
Codruta Chis
Banatul University of Agricultural Sciences, Faculty of Agricultural Management
Coauthors: Mihai Chis, West University of Timisoara, Faculty of Mathematics and Computer Sciences

Considering a representative system of the conjugacy classes in a finite group, we find properties regarding the number of centralizers of the representatives of the conjugacy classes, whose order is divisible by certain primes. We also find conditions which imply the existence of elements of order p-1 for certain primes p. These properties can be applied in order to determine groups with a given number of conjugacy classes.

Date received: April 28, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawc-37.