Inner automorphism - Open Access .click

Siberian Mathematical Journal
From the introduction: ``As showed in [\textit{A. A. Simonov} et al., Sib. Math. J. 65, No. 3, 627--638 (2024; Zbl 1551.57012); translation from Sib. Mat. Zh. 65, No. 3, 577--590 (2024)], when in the generalized Alexander quandle with the operation \[x\circ y =\phi(xy^{-1})y,\ x, y\in G\] constructed from some group \(G\) by using \(\phi\in Aut G\), we
Borodin, A. N., Neshchadim, M. V., Simonov, A. A. +2 more
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Generators and inner automorphism

The COLLOQUIUM, 2023
This paper presents the generators and computation of inner automorphism where the group of order 6 and 12 are used. The symmetry and the dihedral group is obtained through rotation and reflection of triangle and hexagon and the permutations generated by the generators is obtained by taking the products for order 6 and 12 respectively.
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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 ...
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mathematics
automorphism
pure mathematics

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quantum mechanics

group periodic table
automorphism group
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