Results 171 to 180 of about 30,021 (207)

Extensions of the Inner Automorphism Group of a Factor

open access: yesPublications of the Research Institute for Mathematical Sciences, 1978
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Categories of Orthosets and Adjointable Maps. [PDF]

open access: yesInt J Theor Phys (Dordr)
Paseka J, Vetterlein T.
europepmc   +1 more source

CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER

Communications in Algebra, 2001
An automorphism σ of a group G is central if σ commutes with every automorphism in Inn(G), the group of inner automorphisms of G, or equivalently, if g −1 σ(g) lies in the centre Z(G) of G, for all...
D. J. McCaughan, M. J. Curran
openaire   +2 more sources

Central Automorphisms and Inner Automorphisms in Finitely Generated Groups

Communications in Algebra, 2016
Let G be a group and Autc(G) be the group of all central automorphisms of G. We know that in a finite p-group G, Autc(G) = Inn(G) if and only if Z(G) = G′ and Z(G) is cyclic. But we shown that we cannot extend this result for infinite groups. In fact, there exist finitely generated nilpotent groups of class 2 in which G′ =Z(G) is infinite cyclic and ...
openaire   +2 more sources

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