Block separations and inclusions |
| |
Authors: | Christine Bessenrodt Jiping Zhang |
| |
Institution: | a Fakultät für Mathematik und Physik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany b LMAM, The School of Mathematical Sciences, Peking University, Beijing 100871, PR China |
| |
Abstract: | We investigate the separation of characters by blocks at different primes and the inclusions of q-blocks in p-blocks (viewed as sets of characters), and use these notions to prove results on the structure of the corresponding groups. In particular, we provide a new criterion for the nilpotence of a finite group G based on the separation by principal blocks, and we show that a condition on block unions has strong structural consequences. |
| |
Keywords: | 20C15 20C20 |
本文献已被 ScienceDirect 等数据库收录! |
|