Automorphisms of p-groups of maximal class

Details Automorphisms of p-groups of maximal class Automorphisms of p-groups of maximal class

2005-12-21

arxiv.org/abs/math/0512494v1

Rend. Sem. Mat. Univ. Padova. 115 (2006), 189-198

Mathematics

Group Theory

8 pages

Scientific paper

Juhasz has proved that the automorphism group of a group G of maximal class of order p^n, with p\ge 5 and n>p+1, has order divisible by $p^{\lceil(3n-2p+5)/2\rceil}$. We show that by translating the problem in terms of derivations, the result can be deduced from the case where G is metabelian. Here one can use a general result of Caranti and Scoppola concerning automorphisms of two-generator, nilpotent metabelian groups.

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