Vol. 77, No. 1, 1978

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
On prosupersolvable groups

B. C. Oltikar and Luis Ribes

Vol. 77 (1978), No. 1, 183–188
Abstract

Let G be a prosupersolvable group (projective limit of finite supersolvable groups), whose order involves only finitely many primes; then we show that G is topologically finitely generated iff its Frattini subgroup is open in G. If a prosupersolvable group G is topologically finitely generated, so is each Sylow p-subgroup of G. If G is a topologically finitely generated prosupersolvable group, then every subgroup G of finite index is open.

Mathematical Subject Classification 2000
Primary: 20E18
Milestones
Received: 6 May 1977
Revised: 8 December 1977
Published: 1 July 1978
Authors
B. C. Oltikar
Luis Ribes