Zassenhaus Conjecture for Groups of Order p²q

Abstract

Let G be a group of order p ² q, we prove that the Zassenhaus conjecture holds for G.

Key Words:

• Integral group ring
• Zassenhaus conjecture

2000 Mathematics Subject Classification:

• 20C05

ACKNOWLEDGMENTS

The material in this article is part of the author's master thesis written at the National Taiwan Normal University.

The author would like to thank the referee for his valuable comments and suggestions, which helped to simplify the original proof very much.

Notes

Communicatedby S. K. Sehgal