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arXiv · 1212.0799

Finite 2-groups of Class 2 with Specific Automorphism Group

A. Abdollahi·M. Ahmadi·S. M. Ghoraishi
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Abstract

In this paper we classify all finite 2-groups of class 2 for which every automorphism of order 2 leaving the Frattini subgroup elementwise fixed is inner. We prove that every such group G is isomorphic to Q(n; r) = for some positive integers r; n such that 2 < 2r <= n; and every automorphism of Q(n; r) of order 2 leaving the Frattini subgroup elementwise fixed is inner.

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A. Abdollahi, M. Ahmadi, S. M. Ghoraishi. 2012-12-04. Finite 2-groups of Class 2 with Specific Automorphism Group. https://arxiv.org/abs/1212.0799

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