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A Characteristic Subgroup of π-Stable Groups

Published online by Cambridge University Press:  20 November 2018

Zvi Arad
Zvi Arad*
Affiliation:
Tel Aviv University, Tel Aviv, Israel
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All groups in this paper are assumed to be finite.

Let G be a group with op(G) ≠ 1 which is p-constrained and p-stable, p odd. If P is an Sp-subgroup of G, then by Glaubermaris Theorem, [3, 8.2.11],

G = Op′(G)NG(ZJ(P)).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 6 , December 1974 , pp. 1509 - 1514
Copyright
Copyright © Canadian Mathematical Society 1974

References

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