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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The Sylow $ p$-subgroups of semicomplete nilpotent groups


Authors: Martyn R. Dixon and E. Myron Rigsby
Journal: Proc. Amer. Math. Soc. 119 (1993), 341-349
MSC: Primary 20F18; Secondary 20D20, 20F28
DOI: https://doi.org/10.1090/S0002-9939-1993-1152977-3
MathSciNet review: 1152977
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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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DOI: https://doi.org/10.1090/S0002-9939-1993-1152977-3
Keywords: Automorphism, semicomplete nilpotent group
Article copyright: © Copyright 1993 American Mathematical Society