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An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]
Publicacions Matemàtiques, 2011 20 pages. To appear, Publicacions Mathem\`{a}tiques. The 1-1-ness result in the appendix has been greatly strengthened, an "Overview" has been added at the beginning, and numerous small rewordings have been made ...
George M. Bergman
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A characterization of inner automorphisms [PDF]
Proceedings of the American Mathematical Society, 1987 It turns out that one can characterize inner automorphisms without mentioning either conjugation or specific elements. We prove the following Theorem Let G G be a group and let α \alpha be an automorphism of G G .
Paul E. Schupp
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Characterization of Approximately Inner Automorphisms [PDF]
Proceedings of the American Mathematical Society, 1982 Let M M be a finite factor acting standardly on a Hilbert space H H . An automorphism θ \theta of M M is approximately inner on M M if and only if there exists a state ϕ \phi on B ( H ) B(H) such ...
Marie Choda
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Not quite inner automorphisms [PDF]
Bulletin of the Australian Mathematical Society, 1981 A question asked by G. Kowol is answered by the construction, to an arbitrarily given natural number n, of groups G with automorphisms that agree with inner automorphisms on each set of fewer than n elements of G, but fail to agree with any inner automorphism on at least one set of n elements.
Β Neumann
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$X$-inner automorphisms of filtered algebras [PDF]
Proceedings of the American Mathematical Society, 1981 We continue earlier work and compute the X-inner automorphisms of the ring of differential polynomials in one variable over an arbitrary domain. This is then applied to iterated Ore extensions. We also show that the ring of generic matrices has no nonidentity automorphisms which fix the center.
Susan Montgomery
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ON THE GROUP OF POINTWISE INNER AUTOMORPHISMS
Journal of Universal Mathematics, 2023 Let $L_{m,c}$ stand for the free metabelian nilpotent Lie algebra of class $c$ of rank $m$ over a field $K$ of characteristic zero. Automorphisms of the form $\varphi(x_i)=e^{adu_i}(x_i)$ are called pointwise inner, where $e^{adu_i}$, is the inner automorphism induced by the element $u_i\in L_{m,c}$ for each $i=1,\ldots,m$.
Ela AYDIN
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Inner automorphisms of presheaves of groups
Applied Categorical Structures, 2021 It has been proven by Schupp and Bergman that the inner automorphisms of groups can be characterized purely categorically as those group automorphisms that can be coherently extended along any outgoing homomorphism. One is thus motivated to define a notion of (categorical) inner automorphism in an arbitrary category, as an automorphism that can be ...
Jason Parker
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A Criterion for automorphisms of certain groups to be inner [PDF]
Journal of the Australian Mathematical Society, 1976 Let R be a normal subgroup of the free group F, and set G = F/[R, R]. We assume that F/R is a torsion-free group which is either solvable and not cyclic, or has a non-trivial center and is not cyclic-by-periodic. Then any automorphism of G whose restriction to R/[R, R] is trivial is an inner automorphism, determined by some element of R/[R, R].
Joan L. Dyer
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Inner automorphisms of groupoids
, 2019 Bergman has given the following abstract characterisation of the inner automorphisms of a group $G$: they are exactly those automorphisms of $G$ which can be extended functorially along any homomorphism $G \rightarrow H$ to an automorphism of $H$. This leads naturally to a definition of "inner automorphism" applicable to the objects of any category ...
Richard Garner
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Absolute central automorphisms that are inner
Indagationes Mathematicae, 2014 Abstract Let G be a finite p -group and let Aut l ( G ) be the group of absolute central automorphisms of G . In this paper we study some properties of autonilpotent group G and give necessary and sufficient conditions on G such that Aut l ( G ) = Inn ( G ) .
Mohammad Mehdi Nasrabadi +1 more
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