Results 21 to 30 of about 9,251 (245)
Finite $2$-groups of class $2$ with a specific automorphism group [PDF]
International 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
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Advances 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
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Automorphism groups of superextensions of groups [PDF]
Matematychni Studii, 2017 9 ...
Volodymyr Gavrylkiv, Taras Banakh
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On Groups of Automorphism of Lie Groups [PDF]
Proceedings of the National Academy of Sciences, 1944 Not ...
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Algebraic automorphism groups [PDF]
Illinois Journal of Mathematics, 1975 For an algebraic group G, let W(G) denote the group of all algebraic group automorphisms of G. In this chapter, we examine the possibility of endowing W(G) with the structure of an algebraic group in such a way that G becomes a strict W(G)-variety. The example of a toroid of dimension greater than 1 shows that this is not always possible. However, good
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The Group of Automorphisms of the Pentablock [PDF]
Complex Analysis and Operator Theory, 2014 To appear in ...
Łukasz Kosiński, Łukasz Kosiński
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Ree groups as automorphism groups of block designs
Examples and CounterexamplesA recent classification of flag-transitive 2-designs with parameters (v,k,λ) whose replication number r is coprime to λ gives rise to eight possible infinite families of 2-designs, some of which are with new parameters.
Ashraf Daneshkhah
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The automorphism group of accessible groups [PDF]
Journal of the London Mathematical Society, 2011 18 pages, 3 figures.
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Automorphism group of certain power graphs of finite groups
Electronic Journal of Graph Theory and Applications, 2017 The power graph $\mathcal{P}(G)$ of a group $G$ is the graphwith group elements as vertex set and two elements areadjacent if one is a power of the other. The aim of this paper is to compute the automorphism group of the power graph of several well-known
Ali Reza Ashrafi +2 more
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Journal of Algebra, 2007 AbstractThe main purpose of the present paper is to give an explicit description of the Wells map of a given group extension to the case of automorphisms acting trivially on the quotient group. From this we obtain some of new necessary and sufficient conditions for an automorphism of a normal subgroup of a group to extend to the group itself, with ...
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