Can I read The Schur-Wielandt theory for central S-rings on EtoBox?

The Schur-Wielandt theory for central S-rings by Chen, Gang; Muzychuk, Mikhail; Ponomarenko, Ilya is a scholarly article available to read on EtoBox.

What is The Schur-Wielandt theory for central S-rings about?

Two basic results on the S-rings over an abelian group are the Schur theorem on multipliers and the Wielandt theorem on primitive S-rings over groups with a cyclic Sylow subgroup. None of these theorems is directly generalized to the non-abelian case. Nevertheless, we prove that they are true for the central S-rings, i.e., for those which are contained in the center of the group ring of the underlying group (such S-rings naturally arise in the supercharacter theory). We also generalize the concept of a B-group introduced by Wielandt, and show that any Camina group is a generalized B-group whereas with few exceptions, no simple group is of this type.

Author

Chen, Gang; Muzychuk, Mikhail; Ponomarenko, Ilya

Published

2015

Language

EN