Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-05T11:50:02.779Z Has data issue: false hasContentIssue false

Nilpotent signalizer functors on finite groups

Published online by Cambridge University Press:  17 April 2009

J.N. Ward
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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.

In a recent paper Martineau has shown that the study of groups with a fixed-point-free automorphism group can be applied to help in the investigation of signalizer functors. We prove further results about signalizer functors by this method.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Glauberman, George, “Failure of factorization in p–solvable groups”, Quart. J. Math. Oxford (2) 24 (1973), 7177.CrossRefGoogle Scholar
[2]Goldschmidt, David M., “Solvable signalizer functors on finite groups”, J. Algebra 21 (1972), 137148.Google Scholar
[3]Gorenstein, Daniel, Finite groups (Harper and Row, New York, Evanston, London, 1968).Google Scholar
[4]Martineau, R. Patrick, “Elementary abelian fixed point free automorphism groups”, Quart. J. Math. Oxford (2) 23 (1972), 205212.Google Scholar
[5]Martineau, R. Patrick, “Rank 3 signalizer functors on finite groups”, Bull. London Math. Soc. 4 (1972), 161162.CrossRefGoogle Scholar
[6]Ward, J.N., “On groups admitting a noncyclic abelian automorphism group”, Bull. Austral. Math. Soc. 9 (1973), 363366.Google Scholar