Vol. 36, No. 2, 1971

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 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 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Intersections of nilpotent Hall subgroups

Marcel Herzog

Vol. 36 (1971), No. 2, 331–333
Abstract

A family of subgroups of a finite group G is said to satisfy (property) B if whenever U = H1 Hr is a representation of U as intersection of elements of of minimal length r, then r 2. The aim of this paper is to prove THEOREM 1. Let H be a nilpotent Hall π-subgroup of a group G and assume that if H1,H2 Sπ(G) then H1 H2 ⊲ H1. Then Sπ(G) satisfles B.

Mathematical Subject Classification
Primary: 20.43
Milestones
Received: 3 June 1970
Published: 1 February 1971
Authors
Marcel Herzog