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math.GR2005
Automorphisms of p-groups of maximal class
Andrea Caranti, Sandro Mattarei
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 . We show that…
math.GR2005
Retrieving information about a group from its character degrees or its class sizes
Sandro Mattarei
We prove that a knowledge of the character degrees of a finite group G and of their multiplicities determines whether G has a Sylow p-subgroup as a direct factor. An analogous resu…