Covering theorems for finite nonabelian simple groups. V

J. L. Brenner, Robert Myrl Cranwell and James Riddell

Vol. 58 (1975), No. 1, 55–60

DOI: 10.2140/pjm.1975.58.55

Abstract

In the alternating group A_n,n = 4k + 1 > 5, the class C of the cycle (12⋯n) has the property that CC covers the group. For n = 16k there is a class C of period n∕4 in A_n such that CC covers A_n;C is the class of type (4k)⁴.

Mathematical Subject Classification 2000

Primary: 20D05

Milestones

Received: 20 August 1973

Revised: 21 May 1974

Published: 1 May 1975