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- Title
ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS.
- Authors
ABDOLLAHI, ALIREZA; GHORAISHI, S. MOHSEN
- 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.
- Subjects
AUTOMORPHISM groups; AUTOMORPHISMS; FINITE groups; FRATTINI subgroups; MAXIMAL subgroups
- Publication
Bulletin of the Australian Mathematical Society, 2014, Vol 90, Issue 2, p227
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972714000100