A Characteristic Subgroup of a p-Stable Group
- 1 January 1968
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 20, 1101-1135
- https://doi.org/10.4153/cjm-1968-107-2
Abstract
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.Keywords
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