Schur indices over the 2-adic field

Toshihiko Yamada

Vol. 74 (1978), No. 1, 273–275

DOI: 10.2140/pjm.1978.74.273

Abstract

In this paper it is proved that if G is a finite group with abelian Sylow 2-subgroups, then the Schur index of any character of G over the 2-adic numbers Q₂ is equal to 1. Examples are given so as to show that this statement is false for each odd prime p.

Mathematical Subject Classification 2000

Primary: 20C15

Secondary: 12B15

Milestones

Received: 27 May 1977

Published: 1 January 1978