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SOME PROPERTIES OF SEMI-ABELIAN $p$-GROUPS
Published online by Cambridge University Press: 15 October 2014
Abstract
We prove a cohomological property for a class of finite $p$-groups introduced earlier by Xu, which we call semi-abelian $p$-groups. This result implies that a semi-abelian $p$-group has noninner automorphisms of order $p$, which settles a long-standing problem for this class. We answer also, independetly, an old question posed by Xu about the power structure of semi-abelian $p$-groups.
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- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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