Results 31 to 40 of about 16,147,605 (261)

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

On Residual Separability of Subgroups in Split Extensions

Моделирование и анализ информационных систем, 2015
In 1973, Allenby and Gregoras proved the following statement. Let G be a split extension of a finitely generated group A by the group B. 1) If in groups A and B all subgroups (all cyclic subgroups) are finitely separable, then in group G all subgroups (all
A. A. Krjazheva
doaj   +1 more source

Ergodic infinite group extensions of geodesic flows on translation surfaces [PDF]

, 2012
We show that generic infinite group extensions of geodesic flows on square tiled translation surfaces are ergodic in almost every direction, subject to certain natural constraints. K. Frączek and C. Ulcigrai have shown that certain concrete staircases,
David Ralston, S. Troubetzkoy
semanticscholar   +1 more source

Conjugacy Length in Group Extensions [PDF]

, 2012
Determining the length of short conjugators in a group can be considered as an effective version of the conjugacy problem. The conjugacy length function provides a measure for these lengths. We study the behavior of conjugacy length functions under group
Andrew W. Sale
semanticscholar   +1 more source

Speedups of ergodic group extensions [PDF]

Ergodic Theory and Dynamical Systems, 2011
We prove that for all ergodic extensions $S_{1}$ of a transformation by a locally compact second countable group $G$, and for all $G$-extensions $ S_{2} $ of an aperiodic transformation, there is a relative speedup of $ S_{1} $ that is relatively ...
A. Babichev, R. Burton, A. Fieldsteel
semanticscholar   +1 more source

On separable extensions of group rings and quaternion rings

International Journal of Mathematics and Mathematical Sciences, 1978
The purposes of the present paper are (1) to give a necessary and sufficient condition for the uniqueness of the separable idempotent for a separable group ring extension RG(R may be a non-commutative ring), and (2) to give a full description of the set ...
George Szeto
doaj   +1 more source

Group extensions with infinite conjugacy classes [PDF]

, 2012
We characterize the group property of being with infinite conjugacy classes (or icc, i.e. infinite and of which all conjugacy classes except {1} are infinite) for groups which are defined by an extension of groups.
Jean-Philippe Pr'eaux
semanticscholar   +1 more source

Box spaces, group extensions and coarse embeddings into Hilbert space [PDF]

, 2011
We investigate how coarse embeddability of box spaces into Hilbert space behaves under group extensions. In particular, we prove a result which implies that a semidirect product of a finitely generated free group by a finitely generated residually finite
A. Khukhro
semanticscholar   +1 more source

A note on the affine subgroup of the symplectic group [PDF]

International Journal of Group Theory, 2016
We examine the symplectic group $Sp_{2m}(q)$ and its correspondingaffine subgroup. We construct the affine subgroup and show that itis a split extension. As an illustration of the above we study theaffine subgroup $2^5{:}Sp_4(2)$ of the group $Sp_6(2)$.
Jamshid Moori, Bernardo Rodrigues
doaj  

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