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On automorphisms of finite p-groups
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Manoj K Yadav
Published/Copyright:
January 4, 2008
Abstract
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| divides |Aut(G)|, where Aut(G) is the automorphism group of G.
Received: 2006-11-28
Revised: 2007-03-09
Published Online: 2008-01-04
Published in Print: 2007-11-20
© Walter de Gruyter
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Articles in the same Issue
- A bound for the Bredon cohomological dimension
- An obstruction to the strong relative hyperbolicity of a group
- The algebra of strand splitting. I. A braided version of Thompson's group V
- Direct products and profinite completions
- The non-abelian tensor product of polycyclic groups is polycyclic
- Profinite HNN-constructions
- A finiteness condition for verbal subgroups
- Orbital digraphs of infinite primitive permutation groups
- Another measuring argument for finite permutation groups
- The strong symmetric genus of the finite Coxeter groups
- On the injectors of finite groups
- On automorphisms of finite p-groups
