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ON NONINNER AUTOMORPHISMS OF SOME FINITE P-GROUPS
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- Bulletin of the Australian Mathematical Society , First View
- Published online by Cambridge University Press:
- 08 October 2024, pp. 1-6
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We settle the noninner automorphism conjecture for finite p-groups (
$p> 2$) with certain conditions. Also, we give an elementary and short proof of the main result of Ghoraishi [‘On noninner automorphisms of finite nonabelian p-groups’, Bull. Aust. Math. Soc. 89(2) (2014) 202–209].
ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 90 / Issue 2 / October 2014
- Published online by Cambridge University Press:
- 29 May 2014, pp. 227-231
- Print publication:
- October 2014
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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.
ON THE EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER TWO IN FINITE 2-GROUPS
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 87 / Issue 2 / April 2013
- Published online by Cambridge University Press:
- 17 September 2012, pp. 278-287
- Print publication:
- April 2013
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