Automorphisms of nilpotent-by-abelian groups
نویسندگان
چکیده
منابع مشابه
Abelian Groups, Homomorphisms and Central Automorphisms of Nilpotent Groups
In this paper we find a necessary and sufficient condition for a finite nilpotent group to have an abelian central automorphism group.
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The totality of the operators which correspond to their inverses in an automorphism of an abelian group G obviously constitutes a subgroup of G. I t is well known that G cannot contain any characteristic operator besides the identity unless this operator is of order 2, and that it cannot contain more than one characteristic operator of this order. Hence it results that whenever G contains any c...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1989
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700004317