Units in the modular group algebra of a finite abelian p-group
نویسندگان
چکیده
منابع مشابه
THE AUTOMORPHISM GROUP OF NON-ABELIAN GROUP OF ORDER p^4
Let G be a finite non-abelian group of order p^4 . In this paper we give a structure theorem for the Sylow p-subgroup, Aut_p(G) , of the automorphism group of G.
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The descent algebra of the symmetric group, over a field of non-zero characteristic p, is studied. A homomorphism into the algebra of generalised p-modular characters of the symmetric group is defined. This is then used to determine the radical, and its nilpotency index. It also allows the irreducible representations of the descent algebra to be described.
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The endomorphisms and the automorphisms of a finite abelian p-group are presented in an efficient way. The order of the automorphism group is computed and its structure investigated. Finally the characteristic subgroups are described for p > 2 and the fully invariant subgroups for any p.
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Determining the order and the structure of the automorphism group of a finite p-group is an important problem in group theory. There have been a number of studies of the automorphism group of p-groups. Most of them deal with the order of Aut(G), the automorphism group of G, see for example [1] and [6]. Moreover various attempts have been made to find a structure for the automorphism group of a ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1984
ISSN: 0022-4049
DOI: 10.1016/0022-4049(84)90066-5