Results 31 to 40 of about 96,321 (254)

Normalizer property of finite groups with almost simple subgroups

Electronic Research Archive, 2022
In this paper, we prove that all Coleman automorphisms of extension of an almost simple group by an abelian group or a simple group are inner. Using our methods we also show that the Coleman automorphisms of 2-power order of an odd order group by an ...
Jingjing Hai , Xian Ling
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Every group has a terminating transfinite automorphism tower

, 1998
The automorphism tower of a group is obtained by computing its automorphism group, the automorphism group of THAT group, and so on, iterating transfinitely.
Hamkins, Joel David
core   +1 more source

Limit pretrees for free group automorphisms: existence

Forum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
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Automorphisms of groups

Journal of Algebra, 2007
AbstractThe main purpose of the present paper is to give an explicit description of the Wells map of a given group extension to the case of automorphisms acting trivially on the quotient group. From this we obtain some of new necessary and sufficient conditions for an automorphism of a normal subgroup of a group to extend to the group itself, with ...
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Automorphisms of monomial groups [PDF]

Pacific Journal of Mathematics, 1961
Dissertation (Ph. D.)--University of Kansas, Mathematics, 1955.
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Commensurability of automorphism groups [PDF]

Compositio Mathematica, 2017
We develop a theory of commensurability of groups, of rings, and of modules. It allows us, in certain cases, to compare sizes of automorphism groups of modules, even when those are infinite. This work is motivated by the Cohen–Lenstra heuristics on class groups.
Bartel, Alex, Lenstra, Hendrik W.
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The Automorphism Group of Hall's Universal Group

, 2017
We study the automorphism group of Hall's universal locally finite group $H$. We show that in $Aut(H)$ every subgroup of index $< 2^\omega$ lies between the pointwise and the setwise stabilizer of a unique finite subgroup $A$ of $H$, and use this to ...
Paolini, Gianluca, Shelah, Saharon
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Automorphisms of the Dihedral Groups [PDF]

Proceedings of the National Academy of Sciences, 1942
Not ...
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Automorphisms of Group Extensions [PDF]

Transactions of the American Mathematical Society, 1971
If 1 G I> E X-4 I -> 1 is a group extension, with t an inclusion, any automorphism T of E which takes G onto itself induces automorphisms T on G and a on 11. However, for a pair (a, T) of automorphism of 11 and G, there may not be an automorphism of E inducing the pair. Let Xx: H -IOut G be the homomorphism induced by the given extension. A pair (a, T)
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Semi-automorphisms of groups [PDF]

Proceedings of the American Mathematical Society, 1958
A semi-automorphism of a group G is a 1-1 mapping, X, of G onto itself such that 0(aba) =4(a)o(b)4(a) for all a, bEG. The nature of such mappings, in the special cases when G is the symmetric or alternating group (finite or infinite) and in a few other examples, was determined by Dinkines [I], who showed they must be automorphisms or anti-automorphisms.
I. N. Herstein, M. F. Ruchte
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