𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Schur Indices and Schur Groups, II

✍ Scribed by Udo Riese; Peter Schmid

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
219 KB
Volume
182
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On Schur Rings over Cyclic Groups, II
On Schur Rings over Cyclic Groups, II
✍ Ka Hin Leung; Shing Hing Man πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 193 KB

In this paper, we show that for any Schur ring S over a cyclic group G, if every subgroup is an S-subgroup, then S is either a wedge product of Schur rings over smaller cyclic groups, or every S-principal subset is an orbit of an element under a Ε½ fixed subgroup of Aut G. With an earlier result prov

A Formula for Calculating Some Schur Ind
A Formula for Calculating Some Schur Indices
✍ Alexandre Turull πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 83 KB

We describe a method for calculating the Schur indices of certain characters of finite groups. This method helps, in particular, in the calculation of the Schur indices of the irreducible characters of the special linear groups.

Schur Subalgebras and an Application to
Schur Subalgebras and an Application to the Symmetric Group
✍ Anne E. Henke πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 170 KB

Let K be an infinite field of prime characteristic p and let d ≀ r be positive integers of the same parity satisfying a certain congruence condition. We prove that the Schur algebra S 2 d is isomorphic to a subalgebra of the form eS 2 r e, where e is a certain idempotent of S 2 r . Translating this