Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-10T21:24:25.008Z Has data issue: false hasContentIssue false

ON THE NUMBER OF CONJUGACY CLASSES OF A FINITE SOLVABLE GROUP

Published online by Cambridge University Press:  21 December 2000

LÁSZLÓ HÉTHELYI
Affiliation:
Department of Algebra, Technical University of Budapest, H–1521 Budapest, Hungary
BURKHARD KÜLSHAMMER
Affiliation:
Mathematical Institute, University of Jena, D–07740 Jena, Germany
Get access

Abstract

We prove that a finite solvable group whose order is divisible by a prime p has at least 2√p−1 conjugacy classes.

Type
NOTES AND PAPERS
Copyright
© The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)