Results 1 to 10 of about 30,476 (209)

An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]

Publicacions Matemàtiques, 2011
The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
core   +13 more sources

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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Minimality of the inner automorphism group [PDF]

Topology and its Applications, 2023
By [6], a minimal group $G$ is called $z$-minimal if $G/Z(G)$ is minimal. In this paper, we present the $z$-Minimality Criterion for dense subgroups with some applications to topological matrix groups. For a locally compact group $G$, let $\operatorname{Inn}(G)$ be the group of all inner automorphisms of $G,$ endowed with the Birkhoff topology. Using a
Dekui Peng, Menachem Shlossberg
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A Complex Structure for Two-Typed Tangent Spaces [PDF]

Entropy
This study concerns Riemannian manifolds with two types of tangent vectors. Let it be given that there are two subspaces of a tangent space with the property that each tangent vector has a unique decomposition as the sum of a vector in one subspace and a
Jan Naudts
doaj   +2 more sources

𝑛-inner automorphisms of finite groups [PDF]

Proceedings of the American Mathematical Society, 2003
We refer to an automorphism g g of a group G G as n n -inner if given any subset S S of G G with cardinality less than n n , there exists an inner automorphism of G G agreeing with g g on S S ...
Fernando Szechtman
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Classification of Lie Subalgebras up to an Inner Automorphism [PDF]

Journal of Algebraic Systems, 2014
In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in ...
Seyed Reza Hejazi
doaj   +2 more sources

Inner automorphisms of groupoids [PDF]

Theory and Applications of Categories
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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A Note on Fuzzy Automorphism and Inner Automorphism of Groups [PDF]

, 2019
The fuzzification of classical set theory came into existence when Zadeh [1] laid down the concept of a fuzzy set as a generalization of a crisp set. The objective of this paper is to extend the concept of fuzzy endomorphism to fuzzy automorphism.
Shiv Narain, Sunil Kumar, Sandeep Kumar, Gaurav Mittal   +3 more
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Characterizing inner automorphisms and realizing outer automorphisms [PDF]

11 ...
Benjamin Sambale
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Inner automorphisms as 2-cells [PDF]

Theory and Applications of Categories
Abstract inner automorphisms can be used to promote any category into a 2-category, and we study two-dimensional limits and colimits in the resulting 2-categories. Existing connected colimits and limits in the starting category become two-dimensional colimits and limits under fairly general conditions.
Pieter Hofstra, Martti Karvonen
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