Results 221 to 230 of about 167,102,035 (280)
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On the Group of Automorphisms of a Group
The American Mathematical Monthly, 2011AbstractThis note gives a generalization of the classical result asserting that if the center of a group G is trivial, then so is the center of its automorphism group Aut(G).
Marian Deaconescu, Gary L. Walls
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Automorphisms of Group Extensions [PDF]
, 2013 After a brief survey of the theory of group extensions and, in particular, of automorphisms of group extensions, we describe some recent reduction theorems for the inducibility problem for pairs of ...
D. J. Robinson
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Automorphisms of the Gersten Group
Siberian Mathematical Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dudkin, F. A., Shaporina, E. A.
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AUTOMORPHISMS OF SEMIDIRECT PRODUCTS
Mathematical Proceedings of the Royal Irish Academy, 2022:In this note we describe the group of automorphisms of a finite semidirect product G = HK that fix the normal subgroup H of G as a set. In particular if H is a characteristic subgroup of G, this group will give the full automorphism group of G.
M. Curran
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The Automorphism Groups of the Braid Groups
American Journal of Mathematics, 1981In the first of two papers published in the Annals in 1947 [3] Emil Artin mentioned the problem of determining all automorphisms of the braid groups (of the Euclidean plane), and in the second [4] took a first step towards a solution. The main result of this paper is a complete determination of these automorphism groups: the outer automorphism group is
Dyer, Joan L., Grossman, Edna K.
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ON THE CENTRE OF THE AUTOMORPHISM GROUP OF A GROUP
Bulletin of the Australian Mathematical Society, 2015If the centre of a group $G$ is trivial, then so is the centre of its automorphism group. We study the structure of the centre of the automorphism group of a group $G$ when the centre of $G$ is a cyclic group. In particular, it is shown that the exponent of $Z(\text{Aut}(G))$ is less than or equal to the exponent of $Z(G)$ in this case.
Farrokhi D. G., M. +1 more
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ON CERTAIN AUTOMORPHISMS OF NILPOTENT GROUPS
Mathematical Proceedings of the Royal Irish Academy, 2022:Let G be a group. An automorphism θ of a group G is pointwise inner if θ(x) is conjugate to x for any x ∈ G. We denote by Aut c (G) and C* the group of all central automorphisms and the group of all central automorphisms of G fixing Z(G) elementwise ...
Zahedeh Azhdari
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Automorphism Groups of Nilpotent Groups
Bulletin of the London Mathematical Society, 1989Let \({\mathfrak X}\) denote the class of all finitely generated torsion-free nilpotent groups G such that the derived factor group G/G' is torsion- free. For G in \({\mathfrak X}\), let Aut *(G) denote the group of automorphisms of G/G' induced by the automorphism group of G. If G/G' has rank n and we choose a \({\mathbb{Z}}\)-basis for G/G' then Aut *
Bryant, R. M., Papistas, A.
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Encryption scheme based on the automorphism group of the Ree function field
2020 7th International Conference on Internet of Things: Systems, Management and Security (IOTSMS), 2020Internet of things (IoT) is a growing technology with a big market and impact to our lives. It can ease various different tasks for us. Meanwhile, IoT has many serious security threats, like data breaches, side-channel attacks, and virus and data ...
Gennady Khalimov +2 more
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Groups of Automorphisms of Tournaments
Order, 2001The main topic of the paper is to describe the class of weakly associative lattice groups (wal-groups) isomorphic to wal-groups of automorphisms of tournaments. The author shows that the class of wal-groups that can be interpreted as subalgebras of the class of all wal-groups of automorphisms of tournaments is a proper subclass of the class of all wal ...
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