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Finite Groups of Local Characteristic p

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Isolated Subgroups in Finite Groups

### J. Lond. Math. Soc. (2) 79 (2009), no. 1, 107--128.

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**Abstract:**

Let G be a finite groups, p a prime, S a Sylow p-subgroups of G and P a
p-minimal subgroup of G containing S. Let H be the subgroup of G generated by
the p-minmal subgrousp of G containing S different from P. In this paper we
investigated the structure of G if H is not equal to G.

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