๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Clifford Theory for Cyclic Quotient Groups

โœ Scribed by Alexandre Turull


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
209 KB
Volume
227
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis


We describe in detail the Clifford theory for cyclic quotient groups. We pay particular attention to the field of definition of the characters involved, as well as their Schur indices.


๐Ÿ“œ SIMILAR VOLUMES


Clifford Theory for Semisimple G-Groups
โœ J.P Lafuente; I Lizasoain; G Ochoa ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

In this paper a Clifford theory for semisimple G-groups is developed, as a particular case of an abstract Clifford theory for G-functors.

Cyclic Quotients of Transitive Groups
โœ Robert M. Guralnick ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 170 KB

this paper is dedicated to helmut wielandt on the occasion of his 90th birthday Let A be a transitive subgroup of S n . We show that the largest cyclic quotient of A has order at most n. This can be interpreted as an equivalent result about extensions of constants in the Galois closure of a coverin

Clifford Theory for G-Functors
โœ J.P Lafuente; I Lizasoain; G Ochoa ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

When does a G-functor admit a Clifford theory? In this paper we give a simple axiomatic property which characterizes the existence of such a theory. Satisfaction of this condition in the different contexts leads automatically to the satisfaction of the corresponding theorems of Clifford. We apply it

Cyclic group actions on gauge theory
โœ Yong Seung Cho ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 981 KB
A generalized notion of quotient for fin
โœ G.L. O'brien ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 271 KB

A finite Abelian group G is partitioned into subsets which are translations of each othtr. A binary operation is defined on these sets in a way which generalizes the quotient group operation. Every finite Abelian group can be realized as such a generalized quotient with G cyclic.