Results 11 to 20 of about 9,504,920 (193)

AUTOMORPHISM GROUPS OF QUANDLES [PDF]

Journal of Algebra and Its Applications, 2012
We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [B. Ho and S. Nelson, Matrices and finite quandles, Homology Homotopy Appl.7(1) (2005) 197–208.], automorphism groups of quandles (up to isomorphisms) of ...
Elhamdadi, Mohamed, Macquarrie, Jennifer, Restrepo, Ricardo   +2 more
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On some projective triply-even binary codes invariant under the Conway group ${\rm Co}_1$ [PDF]

International Journal of Group Theory, 2022
A binary triply-even $[98280, 25, 47104]_2$ code invariant under the sporadic simple group ${\rm Co}_1$ is constructed by adjoining the all-ones vector to the faithful and absolutely irreducible 24-dimensional code of length 98280. Using the action of ${\
Bernardo Rodrigues
doaj   +1 more source

The Automorphism Tower of the Mennicke Group M(-1, -1, -1) [PDF]

Advances in Group Theory and Applications
The automorphism tower of the centerless Mennicke group M(-1, -1, -1) is computed.
Fernando Szechtman
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AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]

, 2011
Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, · · · and theoretical physics, theoretical chemistry, etc..
MAO, LINFAN
core   +1 more source

Automorphisms of Automorphism Groups of Free Groups

Journal of Algebra, 2000
The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
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Most switching classes with primitive automorphism groups contain graphs with trivial groups [PDF]

, 2015
The operation of switching a graph Gamma with respect to a subset X of the vertex set interchanges edges and non-edges between X and its complement, leaving the rest of the graph unchanged.
Cameron, Peter Jephson, Spiga, Pablo
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Central Automorphisms of Zappa–Szép Products [PDF]

Advances in Group Theory and Applications
In this paper, the central automorphism group of the Zappa-Szép product of two groups is obtained.
Ratan Lal, Vipul Kakkar
doaj   +1 more source

The Groups of Isometries of Metric Spaces over Vector Groups

Mathematics, 2022
In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
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Frobenius groups as groups of automorphisms [PDF]

Proceedings of the American Mathematical Society, 2010
We show that if G F H GFH
Makarenko, N. Yu., Shumyatsky, Pavel
openaire   +2 more sources

Classifying cubic symmetric graphs of order 52p2; pp. 55–60 [PDF]

Proceedings of the Estonian Academy of Sciences, 2023
An automorphism group of a graph is said to be s-regular if it acts regularly on the set of s-arcs in the graph. A graph is s-regular if its full automorphism group is s-regular.
Shangjing Hao, Shixun Lin
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