Vol. 84, No. 1, 1979

Recent Issues
Vol. 332: 1
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
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