Results 101 to 110 of about 775 (197)

ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS

open access: yesJournal of Commutative Algebra
Assuming Gödel's axiom of constructibility $\bold V=\bold L,$ we present a characterization of those groups $L$ for which there exist arbitrarily large groups $H$ such that $aut(H) \cong L$. In particular, we show that it suffices to have one such group $H$ such that the size of its center is bigger than $ 2^{|L |+\aleph_0}$.
Asgharzadeh, Mohsen   +3 more
openaire   +2 more sources

ON AUTOMORPHISM GROUPS OF MATRICES

open access: yesPrikladnaya diskretnaya matematika, 2010
Summary: In this paper we consider the groups of the left (right) automorphisms of matrices and their automorphism groups. Without loss of generality one can take square matrices over the ring of integers. For such a matrix, we suggest the notion of a quasiautomorphism and the correspondent notion of its quasiautomorphism group.
openaire   +2 more sources

Automorphisms of graph groups

open access: yesJournal of Algebra, 1989
Given a graph \(\Gamma=(V,E)\), the graph group \(F\langle\Gamma\rangle\) is the group with presentation \(\langle V\mid [E]\rangle\), where \([E]\) denotes the set of commutators \(\{[a,b]\mid\{a,b\}\in E\}\). The graph group \(F\langle\Gamma\rangle\) is modeled to be a group analog of the graph algebra K(\(\Gamma)\) generated as a free associative ...
openaire   +2 more sources

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Michael P. Tuite
doaj  

On the Automorphism Group of A 2-Group [PDF]

open access: yesProceedings of the London Mathematical Society, 1973
openaire   +2 more sources

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