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A Characteristic Subgroup of a p-Stable Group

Published online by Cambridge University Press:  20 November 2018

George Glauberman
George Glauberman*
Affiliation:
University of Chicago, Chicago, Illinois
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Let p be a prime, and let S be a Sylow p-subgroup of a finite group G. J. Thompson (13; 14) has introduced a characteristic subgroup JR(S) and has proved the following results:

(1.1) Suppose that p is odd. Then G has a normal p-complement if and only if C(Z(S)) and N(JR(S)) have normal p-complements.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1101 - 1135
Copyright
Copyright © Canadian Mathematical Society 1968

References

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