Exponent and p-rank of finite p-groups and applications |
| |
Authors: | Benjamin Sambale |
| |
Institution: | 1. Institut für Mathematik, Friedrich-Schiller-Universit?t, 07743, Jena, Germany
|
| |
Abstract: | We bound the order of a finite p-group in terms of its exponent and p-rank. Here the p-rank is the maximal rank of an abelian subgroup. These results are applied to defect groups of p-blocks of finite groups with given Loewy length. Doing so, we improve results in a recent paper by Koshitani, Külshammer, and Sambale. In particular, we determine possible defect groups for blocks with Loewy length 4. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|