The Sylow 𝑝-subgroups of semicomplete nilpotent groups

Dixon, Martyn R.; Rigsby, E. Myron

doi:10.1090/S0002-9939-1993-1152977-3

The Sylow $p$-subgroups of semicomplete nilpotent groups
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by Martyn R. Dixon and E. Myron Rigsby PDF

Proc. Amer. Math. Soc. 119 (1993), 341-349 Request permission

Abstract:

A nilpotent group whose group of outer automorphisms is trivial may contain elements of finite order. This paper is concerned with how large the Sylow $p$-subgroups of such a group can be. We show that in many cases the Sylow $p$-subgroups of such a semicomplete nilpotent group are always finite.

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