Results 21 to 30 of about 83,911 (252)

AUTOMORPHISM GROUPS OF FREE GROUPS [PDF]

open access: yesJournal of the Australian Mathematical Society, 2008
Abstract This note contains some remarks on generating pairs for automorphism groups of free groups. There has been significant use of electronic assistance. Little of this is used to verify the results.
openaire   +3 more sources

Automorphism groups of graph covers and uniform subset graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note we extend the exploration of automorphism groups of distance preserving graph covers.
N.B. Mumba, E. Mwambene
doaj   +2 more sources

Automorphism groups of representation rings of the weak Sweedler Hopf algebras

open access: yesAIMS Mathematics, 2022
Let $ \mathfrak{w}^{s}_{2, 2}(s = 0, 1) $ be two classes of weak Hopf algebras corresponding to the Sweedler Hopf algebra, and $ r(\mathfrak{w}^{s}_{2, 2}) $ be the representation rings of $ \mathfrak{w}^{s}_{2, 2} $.
Dong Su , Shilin Yang
doaj   +1 more source

Automorphism group schemes of bielliptic and quasi-bielliptic surfaces [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension $0$. In this article, we determine the automorphism schemes of these surfaces over algebraically closed fields of arbitrary ...
Gebhard Martin
doaj   +1 more source

Calculating the symmetry of hexamethylcyclohexane

open access: yesMacedonian Journal of Chemistry and Chemical Engineering, 2007
An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane, and eclipsed and ...
Ahmad Gholami   +2 more
doaj   +1 more source

On the automorphism groups of relatively free groups of infinite rank: a survey

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
The paper is intended to be a survey on some topics within the framework of automorphisms of a relatively free groups of infinite rank. We discuss such properties as tameness, primitivity, small index, Bergman property, and so on.
V.A. Roman’kov
doaj   +1 more source

Automorphism Groups of Abelian p-Groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Let r be the automorphism group of a nonelementary reduced abelian p-group, p > 5. It is shown that every noncentral norinal subgroup of r contains a noncentral elementary abelian normal p-subgroup of r of rank at least 2. 1. The result. Throughout the following, G is a reduced p-primary abelian group, p > 5, and F is the group of all automorphisms of ...
openaire   +2 more sources

Finite $2$-groups of class $2$ with a specific automorphism group [PDF]

open access: yesInternational Journal of Group Theory, 2017
‎‎In this paper we determine all finite $2$-groups of‎ ‎class $2$ in which every automorphism of order $2$ leaving the Frattini subgroup elementwise fixed is inner‎.
Marzieh Ahmadi, S. Mohsen Ghoraishi
doaj   +1 more source

Graph automaton groups [PDF]

open access: yesAdvances in Group Theory and Applications, 2021
In this paper we define a way to get a bounded invertible automaton starting from a finite graph. It turns out that the corresponding automaton group is regular weakly branch over its commutator subgroup, contains a free semigroup on two elements and is ...
Matteo Cavaleri   +3 more
doaj   +1 more source

Resonance of basis-conjugating automorphism groups [PDF]

open access: yes, 2008
We determine the structure of the first resonance variety of the cohomology ring of the group of automorphisms of a finitely generated free group which act by conjugation on a given basis.Comment: 7 ...
Cohen, Daniel C.
core   +5 more sources

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