Results 61 to 70 of about 763 (169)
Automorphism groups of 2-groups
Journal of Algebra, 2006 It is conjectured that \(|G|\mid|\Aut(G)|\) for every nonabelian \(p\)-group \(G\). In this paper the following results are proven. Theorem. For every \(s\in\mathbb{N}\) there exists \(o(r,s)\in\mathbb{N}\) such that \(2^s\mid|G|\mid|\Aut(G)|\) for all \(2\)-groups \(G\) of coclass \(r\) and order at least \(o(r,s)\). -- Corollary.
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Automorphisms of Some Magmas of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2018 This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
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An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]
Sci Rep, 2021 Masi N.
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On the automorphism group of a tree
Journal of Combinatorial Theory, Series B, 1977 AbstractIt is shown that H = Γ(T)v is normal in G = Γ(Tv) for any tree T and any vertex v, if and only if, for all vertices u in the neighborhood N of v, the set of images of u under G is either contained in N or has precisely the vertex u in common with N and every vertex in the set of images is fixed by H.
K. C. Stacey, Derek A. Holton
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The divisibility conjecture for automorphism groups of finite p-groups [PDF]
Advances in Group Theory and Applications, 2020 Jill Dietz
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Free subsemigroups in automorphism group of a polynomial ring of two variables over number fields
Karpatsʹkì Matematičnì Publìkacìï, 2013 Sufficient conditions under which the semigroup generated by two automorphism of the polynomial ring in two variables over a number field $P$ will be free are given.
Zh. I. Dovghey, M. I. Sumaryuk
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Semicontinuity of the Automorphism Groups of Domains with Rough Boundary
International Journal of Mathematics and Mathematical Sciences, 2012 Based on some ideas of Greene and Krantz, we study the semicontinuity of automorphism groups of domains in one and several complex variables. We show that semicontinuity fails for domains in , , with Lipschitz boundary, but it holds for domains in with ...
Steven G. Krantz
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Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
IEEE Access, 2019 A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts.
Xiaohui Hua
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A note on one-parameter groups of automorphisms
International Journal of Mathematics and Mathematical Sciences, 1990 Let {αt:t∈R} and {βt:t∈R} be two commuting one-parameter groups of ∗-automorphisms of a von Neumann algebra M such that αt+α−t=βt+β−t for all t∈R. The purpose of this note is to provide a simple and short proof of the central decomposition result: αt=βt ...
A. B. Thaheem, Noor Mohammad
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ON AUTOMORPHISM GROUPS OF MATRICES
Prikladnaya diskretnaya matematika, 2010 Summary: In this paper we consider the groups of the left (right) automorphisms of matrices and their automorphism groups. Without loss of generality one can take square matrices over the ring of integers. For such a matrix, we suggest the notion of a quasiautomorphism and the correspondent notion of its quasiautomorphism group.
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