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On the maximal normal prime-nilpotent subgroup of a prime-solvable group

Published online by Cambridge University Press:  17 April 2009

Terence M. Gagen  and
Mark P. Hale Jr
Terence M. Gagen
Affiliation:
University of Sydney, Sydney, New South Wales, and University of Florida, Gainesville, Florida, USA;
Mark P. Hale Jr
Affiliation:
University of Florida, Gainesville, Florida, USA.
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Abstract

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A characterization of the maximal normal p-nilpotent subgroup of a finite p-solvable group is obtained for primes p ≠ 2 or 3.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 2 , April 1972 , pp. 255 - 262
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Brauer, R. and Nesbitt, C., “On the modular characters of groups”, Ann. of Math. (2) 42 (1941), 556–590.Google Scholar
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[4]Huppert, B., Endliche Gruppen I (Die Grundlehren der mathematischen Wissenschaften, Band 134. Springer-Verlag, Berlin, Heidelberg, New York, 1967).Google Scholar