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automorphisms of p-groups

Bulletin of the Australian Mathematical Society (2)

Australian Mathematical Society Inc (2)

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NONINNER AUTOMORPHISMS OF ORDER $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}p$ IN FINITE $p$-GROUPS OF COCLASS 2, WHEN $p>2$
Part of
- Representation theory of groups
S. FOULADI, R. ORFI
Journal:

Bulletin of the Australian Mathematical Society / Volume 90 / Issue 2 / October 2014

Published online by Cambridge University Press:

10 June 2014, pp. 232-236

Print publication:

October 2014
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It is shown that if $G$ is a finite $p$-group of coclass 2 with $p>2$, then $G$ has a noninner automorphism of order $p$.

A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS
Part of
- Representation theory of groups
S. MOHSEN GHORAISHI
Journal:

Bulletin of the Australian Mathematical Society / Volume 87 / Issue 1 / February 2013

Published online by Cambridge University Press:

30 March 2012, pp. 24-26

Print publication:

February 2013
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Let p be an odd prime and let G be a finite p-group such that xZ(G)⊆xG, for all x∈G∖Z(G), where xG denotes the conjugacy class of x in G. Then G has a noninner automorphism of order p leaving the Frattini subgroup Φ(G) elementwise fixed.

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NONINNER AUTOMORPHISMS OF ORDER $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}p$ IN FINITE $p$-GROUPS OF COCLASS 2, WHEN $p>2$

A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS

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NONINNER AUTOMORPHISMS OF ORDER $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}p$ IN FINITE $p$-GROUPS OF COCLASS 2, WHEN $p>2$

A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS