[PDF] Top 20 On Azumaya algebras with a finite automorphism group
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On Azumaya algebras with a finite automorphism group
... [5] P. Nuss, Extensions galoisiennes non commutatives: normalité, cohomologie non abélienne [Noncommutative Galois extensions: normality, nonabelian cohomology], Comm. Al- gebra 28 (2000), no. 7, 3223–3251 (French). MR ... See full document
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Finite generation of division subalgebras and of the group of eigenvalues for commuting derivations or automorphisms of division algebras
... a finite set of commuting derivations or automorphisms of the division algebra D , then the group Ev(∆) of common eigenvalues ...a finite dimensional Lie algebra ... See full document
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More on the Schur group of a commutative ring
... generalized to the ring case, viz: If G is a finite group of exponent m, and R is a connected ring with RG being separable then R[em] is a splitting ring for G; i.e... Azumaya algebras w[r] ... See full document
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The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence
... Theorem 1.1 was announced in [8] where a sketch of the proof is given based on a study of certain Lie subalgebras of div 0 n of finite codimension. Our proof is based on completely different ideas. The groups of ... See full document
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ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY
... matrix algebras over the group algebras of automorphism groups of objects, one factor for each isomorphism class of objects, and the size of that isomorphism class is equal to the size of the ... See full document
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Automorphisms of Regular Wreath Product p Groups
... linear group GLm, q has a unique conjugacy class of subgroups whose members are isomorphic to ...any finite group containing an abelian normal p-subgroup B of exponent p e and of rank ... See full document
12
Computing automorphism groups and isomorphism testing in finite groups
... The Schreier-Sims algorithm constructs a base and strong generating set for a given permutation group, and we refer the reader to [CH03] for a full discussion of the procedure. There are some computational issues ... See full document
121
On the Initial Subalgebra of a Graded Lie Algebra
... simple finite-dimensional Lie algebras over fields of prime characteristic, irreducible transitive finite dimensional graded Lie algebras play a fundamental role ...simple finite ... See full document
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Automorphism groups of metacyclic groups of class two
... earliest group automorphism (automorphism of a group, not simply a group of automorphism of ...two automorphism in his Icosian ...trivial automorphism is the ... See full document
17
The Schur multiplier and capability of pairs of some finite groups
... In 1996, Ellis [6] introduced the exterior G-center of N for a pair of groups and proved that the pair of groups is capable if and only if the exterior G-center of N is a trivial group. Later in 2011, Pourmirzaei ... See full document
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On the endomorphism algebra of modular Gelfand-Graev representations
... This article is organized as follows. In the first section, we recall the definitions of the Gelfand-Graev representations as well as some of the principal properties of their endomorphism algebras (commutativity ... See full document
26
An obstruction to the strong relative hyperbolicity of a group
... Torelli group I(Σ) of a connected and oriented surface Σ is the kernel of the natural action of the mapping class group MCG(Σ) on the first homology group H 1 (Σ, Z ... See full document
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Rationality of blocks of quasi-simple finite groups
... the finite groups of Lie type, and the calculations of the Morita Frobenius numbers of the blocks of the finite groups of Lie type are presented in Section ...the finite groups of Lie type and ... See full document
134
Infinite dimensional representations of finite dimensional algebras and amenability
... [23] M. Prest, Purity, spectra and localisation. Encyclopedia of Mathematics and its Applications, 121 . Cambridge University Press, Cambridge, (2009). [24] C. M. Ringel, Infinite-dimensional representations of ... See full document
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On the automorphism group of cubic polyhedral graphs
... Let G be a group and Ω a non-empty set. An action of G on Ω denoted by ( G | Ω ) induces a group homomorphism φ from G into the symmetric group S Ω on Ω, where φ ( g ) α = g α ( α ∈ Ω ) . The orbit ... See full document
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Automorphism Group of an Inverse Fuzzy Automaton
... Let M = ( Q , X , µ ) be fuzzy finite state machine. Consider the set of all strong homomorphisms ( α , β ) : M → M denoted by END X (M ) and the set of all strong isomorphisms from M → M by AUT X (M ). END X (M ) ... See full document
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On central endomorphisms of a group
... is finite by Schur’s theorem since G/C is ...factor group G ′ C/G ′ is infinite and hence G ′ ∩ C = { 1 } ...some finite group F ...non-abelian group such that Z (G) or G/G ′ is ... See full document
5
Eight dimensional real absolute valued algebras with left unit whose automorphism group is trivial
... [10] A. Rochdi, Étude des algèbres réelles de Jordan non commutatives, de division, de dimension 8, dont l’algèbre de Lie des dérivations n’est pas triviale [Study of noncommutative Jordan real division algebras ... See full document
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New Practical Algebraic Public Key Cryptosystem and Some Related Algebraic and Computational Aspects
... given automorphism of a group ring RG, find an automorphism of the group G and an automor- phism of the ring R such that can be constructed from and by the way that was mentioned ... See full document
7
On Azumaya Galois extensions and skew group rings
... [1] R. Alfaro and G. Szeto, The centralizer on H-separable skew group rings, Rings, extensions, and cohomology (New York), Lecture Notes in Pure and Appl. Math., vol. 159, Marcel Dekker, Inc., 1994, Basal Hong ... See full document
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