Results 41 to 50 of about 32,457 (190)

Separable subalgebras of a class of Azumaya algebras

International Journal of Mathematics and Mathematical Sciences, 1998
Let S be a ring with 1, C the center of S, G a finite automorphism group of S of order n invertible in S, and SG the subnng of elements of S fixed under each element in G. It is shown that the skew group ring S*G is a G′-Galois extension of (S*G)G′ that
George Szeto
doaj   +1 more source

Commutativity of automorphisms of subfactors modulo inner automorphisms [PDF]

Proceedings of the American Mathematical Society, 1996
We introduce a new algebraic invariant χ a ( M , N ) \chi _{a}(M,N) of a subfactor N ⊂ M N \subset M . We show that this is an abelian group and that if the subfactor is strongly amenable, then the group ...
openaire   +1 more source

Every group has a terminating transfinite automorphism tower

, 1998
The automorphism tower of a group is obtained by computing its automorphism group, the automorphism group of THAT group, and so on, iterating transfinitely.
Hamkins, Joel David
core   +1 more source

Twisted Representations of Code Vertex Operator Algebras [PDF]

, 1999
We study the twisted representations of code vertex operator algebras. For any inner automorphism g of a code VOA MD, we compute the g-twisted modules of MD by using the theory of induced modules.
Lam, Ching Hung
core   +1 more source

On central commutator Galois extensions of rings

International Journal of Mathematics and Mathematical Sciences, 2000
Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
doaj   +1 more source

Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]

Arab Journal of Mathematical Sciences
Purpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader, Osamnia Nada, Kaddour Zegga   +2 more
doaj   +1 more source

A symplectic fission scheme for the association scheme of rectangular matrices and its automorphisms

AIMS Mathematics
In this paper, a symplectic fission scheme for the association scheme of $ m\times n $ rectangular matrices over the finite field $ \mathbb{F}_q $, denoted by $ {\rm{SMat}}(m\times n, q) $, is constructed, where $ q $ is a power of a prime number.
Yang Zhang , Shuxia Liu, Liwei Zeng
doaj   +1 more source

Skew group rings which are Galois

International Journal of Mathematics and Mathematical Sciences, 2000
Let S*G be a skew group ring of a finite group G over a ring S. It is shown that if S*G is an G′-Galois extension of (S*G)G′, where G′ is the inner automorphism group of S*G induced by the elements in G, then S is a G-Galois extension of SG.
George Szeto, Lianyong Xue
doaj   +1 more source

Automorphisms of graph products of groups from a geometric perspective [PDF]

, 2019
This article studies automorphism groups of graph products of arbitrary groups. We completely characterise automorphisms that preserve the set of conjugacy classes of vertex groups as those automorphisms that can be decomposed as a product of certain ...
Genevois, Anthony, Martin, Alexandre
core   +2 more sources

On Galois projective group rings

International Journal of Mathematics and Mathematical Sciences, 1991
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in ​A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
doaj   +1 more source