On a congruence of Blichfeldt concerning the order of finite groups

Author:
David Chillag

Journal:
Proc. Amer. Math. Soc. **136** (2008), 1961-1966

MSC (2000):
Primary 20G15

Published electronically:
February 14, 2008

MathSciNet review:
2383502

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that if is a finite group, a conjugacy class of and , are the distinct elements in the multiset (here is the value of on any element of ), then

We also observe that in Blichfeldt's congruence can be replaced, with a minor adjustment, by any rational value of . A similar change can be done to the first congruence above.

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Additional Information

**David Chillag**

Affiliation:
Department of Mathematics, Technion, Israel Institute of Technology, Haifa, Israel

Email:
chillag@techunix.technion.ac.il

DOI:
https://doi.org/10.1090/S0002-9939-08-09380-5

Received by editor(s):
April 17, 2007

Published electronically:
February 14, 2008

Communicated by:
Jonathan I. Hall

Article copyright:
© Copyright 2008
American Mathematical Society