Results 221 to 229 of about 104,157 (229)

Noetherian Automorphisms of Groups [PDF]

open access: possibleMediterranean Journal of Mathematics, 2005
An automorphism α of a group G is called a noetherian automorphism if for each ascending chain $$ X_1 < X_2 < \ldots < X_n < X_{n + 1} < \ldots $$ of subgroups of G there is a positive integer m such that \(X_n^{\alpha} = X_n \) for all n ≥ m. The structure of the group of all noetherian automorphisms of a group is investigated in this paper.
DE GIOVANNI, FRANCESCO, DE MARI, FAUSTO
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On cyclic automorphisms of a group

Journal of Algebra and Its Applications, 2020
An endomorphism [Formula: see text] of a group [Formula: see text] is called a cyclic endomorphism if the subgroup [Formula: see text] is cyclic for all elements [Formula: see text] of [Formula: see text]. It can be proved that every cyclic endomorphism is normal, i.e. it commutes with every inner automorphism of [Formula: see text] (see [F.
Alessio Russo, Mattia Brescia
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On the Group of Automorphisms of a Group

The American Mathematical Monthly, 2011
AbstractThis note gives a generalization of the classical result asserting that if the center of a group G is trivial, then so is the center of its automorphism group Aut(G).
Marian Deaconescu, Gary L. Walls
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Automorphisms of groups

Acta Applicandae Mathematicae, 1992
The survey presents classical assertions due to Nielsen, Whitehead, and others, well-known theorems on automorphisms included in monographs on group theory, and recent results in this area. Attention is focused on the progress in automorphism groups theory for free, solvable, modular, and profinite groups.
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The Automorphism Group Of

Communications in Algebra, 2002
ABSTRACT The automorphism group of is studied, and a sufficient set of generators is given. Motivations for this theorem are given.
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Automorphism Groups of Nilpotent Groups

Bulletin of the London Mathematical Society, 1989
Bryant, R. M., Papistas, A.
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