Results 91 to 100 of about 1,144 (198)
On Azumaya algebras with a finite automorphism group
International Journal of Mathematics and Mathematical Sciences, 2001 Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that if B is an Azumaya algebra such that B=⊕∑g∈GJg where Jg={b∈B|bx=g(x)b for all x∈B}, then there exist orthogonal central idempotents {fi∈C|i=1,2,…,m ...
George Szeto, Lianyong Xue
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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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Geometric realizations of abstract regular polyhedra with automorphism group H3. [PDF]
Acta Crystallogr A Found Adv, 2020 Aranas JAL, Loyola ML.
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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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The group of automorphism of the Fermat curve
Revista Integración, 2016 Pavlos Tzermias en su artí ulo The group of automorphisms of the Fermat urve (ver [7℄), prueba que el grupo de automorfismos de las urvas de Fermat proye tivas en ara terísti a 0 es el produ to semidire to de la suma dire ta de 2 opias del grupo í li o ...
Marby Bolaños Ortiz +2 more
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The derivation algebra and automorphism group of the electrical Lie algebra of type D5
上海师范大学学报. 自然科学版In this paper, we mainly investigate the derivation algebra and automorphism group of type D5 electrical Lie algebra. We prove that the outer derivations are four-dimensional, and the automorphism group Aut $\mathcal{L} \cong \mathbb{C}^* \ltimes\left ...
LI Zhiling, SHEN Ran
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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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On central endomorphisms of a group [PDF]
International Journal of Group Theory, 2015 Let Γ be a normal subgroup of the full automorphism group Aut(G) of a group G , and assume that Inn(G)≤Γ . An endomorphism σ of G is said to be {\it Γ -central} if σ induces the the identity on the factor group G/C G (Γ) .
Alessio Russo
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Flux Landscape with enhanced symmetry not on SL(2, ℤ) elliptic points
Journal of High Energy PhysicsWe study structures of solutions for SUSY Minkowski F-term equations on two toroidal orientifolds with h 2,1 = 1. Following our previous study [1], with fixed upper bounds of a flux D3-brane charge N flux, we obtain a whole Landscape and a distribution ...
Keiya Ishiguro +3 more
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Bounded Automorphisms of Groups
Journal of Algebra, 1994 Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
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