Article contents
ON p-AUTOMORPHISMS THAT ARE INNER
Published online by Cambridge University Press: 08 June 2009
Abstract
Let G be a group and let CAutΦ(G)(Z(Φ(G))) be the set of all automorphisms of G centralizing G/Φ(G) and Z(Φ(G)). For each prime p and finite p-group G, we prove that CAutΦ(G)(Z(Φ(G)))≤Inn(G) if and only if G is elementary abelian or Φ(G)=Z(G) and Z(G) is cyclic.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 80 , Issue 2 , October 2009 , pp. 291 - 293
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2009
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