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ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS
Published online by Cambridge University Press: 29 May 2014
Abstract
Let $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}G$ be a finite 2-group. If $G$ is of coclass 2 or $(G,Z(G))$ is a Camina pair, then $G$ admits a noninner automorphism of order 2 or 4 leaving the Frattini subgroup elementwise fixed.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 90 , Issue 2 , October 2014 , pp. 227 - 231
- Copyright
- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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