Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-16T01:51:47.041Z Has data issue: false hasContentIssue false
  • English
  • Français

A construction for Fitting formations II

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

John Cossey
John Cossey
Affiliation:
Department of Mathematics, Australian National University, P. O. Box 4 A.C.T. 2601, Australia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A construction for Fitting formations given by the author and C. L. Kanes is generalised. The original examples were based on the use of Fitting families of modules over algebraically closed fields. An example of Haberl and Heineken in 1984 suggested that the methods should work with modules over arbitrary fields. We show that this is indeed the case, provided we restrictthe class of groups considered.

MSC classification

Secondary: 20F17: Formations of groups, Fitting classes
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 1 , August 1989 , pp. 95 - 102
Copyright
Copyright © Australian Mathematical Society 1989