Vol. 84, No. 1, 1979

Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
2-factorization in finite groups

Makoto Hayashi

Vol. 84 (1979), No. 1, 97–142
Abstract

Let G be a finite group, and S be a nonidentity 2-subgroup of G. Then, it is naturally conjectured that there exists a nonidentity NG(S)-invariant subgroup of S, whose normalizer contains all the subgroups H of G with the following properties: (α)S is a Sylow 2-subgroup of H; (β)H does not involve the symmetric group of degree four; and (γ)CH(O2(H)) O2(H). The purpose of this paper is to give a partial answer to this problem.

Mathematical Subject Classification 2000
Primary: 20D25
Milestones
Received: 10 April 1978
Revised: 14 December 1978
Published: 1 September 1979
Authors
Makoto Hayashi