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Nilpotent signalizer functors on finite groups

Published online by Cambridge University Press:  17 April 2009

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

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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
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 3 , December 1973 , pp. 367 - 377
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Glauberman, George, “Failure of factorization in p–solvable groups”, Quart. J. Math. Oxford (2) 24 (1973), 71–77.CrossRefGoogle Scholar
[2]Goldschmidt, David M., “Solvable signalizer functors on finite groups”, J. Algebra 21 (1972), 137–148.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), 205–212.Google Scholar
[5]Martineau, R. Patrick, “Rank 3 signalizer functors on finite groups”, Bull. London Math. Soc. 4 (1972), 161–162.CrossRefGoogle Scholar
[6]Ward, J.N., “On groups admitting a noncyclic abelian automorphism group”, Bull. Austral. Math. Soc. 9 (1973), 363–366.Google Scholar