Results 241 to 250 of about 14,423,502 (287)
Cryptanalysis of some nonabelian group-based key exchange protocols. [PDF]
J Math CryptolTinani S, Matteotti C, Rosenthal J.
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Automorphisms of Automorphism Group of Dihedral Groups
Creative Mathematics and Informatics, 2023The automorphism group of a Dihedral group of order 2n is isomorphic to the holomorph of a cyclic group of order n. The holomorph of a cyclic group of order n is a complete group when n is odd. Hence automorphism groups of Dihedral groups of order 2n are its own automorphism groups whenever n is odd. In this paper, we prove that the result is also true
Sajikumar, Sadanandan +2 more
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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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The automorphism group of the bipartite Kneser graph
Proceedings - Mathematical Sciences, 2018Let n and k be integers with n>2k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
S. Mirafzal
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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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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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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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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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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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On Automorphism Groups of the Fields of Automorphic Functions
The Annals of Mathematics, 1972The purpose of this paper is to determine the group of all automorphisms of the field generated by automorphic functions with respect to infinitely many mutually commensurable discrete subgroups of the group of all automorphisms of a bounded symmetric domain. In the case where either the dimension of the domain is one or the quotient spaces are compact,
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