Results 51 to 60 of about 763 (169)
Automorphisms of free braided nonassociative algebras of rank 2
Қарағанды университетінің хабаршысы. Математика сериясыWe prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
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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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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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On the automorphism groups of relatively free groups of infinite rank: a survey
Қарағанды 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
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Calculating the symmetry of hexamethylcyclohexane
Macedonian 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
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The automorphism groups of domains and the Greene-Krantz conjecture [PDF]
Opuscula MathematicaWe consider the subject of the automorphism groups of domains in complex space. In particular, we describe and discuss the noted Greene-Krantz conjecture.
Steven G. Krantz
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Automorphisms in Varieties of Groups
Journal of Algebra, 1995 If \(N\) is a characteristic subgroup of the group \(G\), then each automorphism of \(G\) induces an automorphism on \(G/N\) and so there is a homomorphism \(\pi:\text{Aut}(G)\to\text{Aut}(G/N)\). Thus if \(V\) is a variety of groups, \(V(F_n)\) the verbal subgroup corresponding to \(V\) and \(F_n(V)\cong F_n/V(F)\) the relatively free group of \(V ...
Bryant, R. M., Papistas, A. I.
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Automorphism Properties and Classification of Adinkras
Advances in Mathematical Physics, 2015 Adinkras are graphical tools for studying off-shell representations of supersymmetry. In this paper we efficiently classify the automorphism groups of Adinkras relative to a set of local parameters.
B. L. Douglas +3 more
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On the automorphism group of a matroid
Discrete Mathematics, 1972 AbstractWe show that for any group H (finite or infinite) there exists an independence structure with automorphism group isomorphic to H. The proof is by construction and shows that for any H there is a geometric lattice with automorphism group isomorphic to H.
Harary, Frank +2 more
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ON THE GROUPS OF THE INFINITELY GENERATED FREE ABELIAN GROUPS AUTOMORPHISMS
Вестник Кемеровского государственного университета, 2015 Let A be an infinitely generated free abelian group. The paper shows that all automorphisms of the group Aut(A) are inner.
V. A. Tolstykh
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