Title of article :
Automorphism groups of 2-groups
Author/Authors :
Bettina Eick، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
A well-known conjecture on p-groups states that every non-abelian p-group G has the property that G divides Aut(G). We exhibit periodic patterns in the automorphism group orders of the 2-groups of fixed coclass and we use this to show that for every positive integer r there are at most finitely many counterexamples to the conjecture among the 2-groups of coclass r.
Keywords :
2-Groups , automorphism groups , Coclass theory
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra