Sylow 2-subgroups of rational solvable groups |
| |
| Authors: | I. M. Isaacs Gabriel Navarro |
| |
| Affiliation: | 1. Department of Mathematics, University of Wisconsin, 480 Lincoln Dr., Madison, WI, 53706, USA
2. Departament d’Algebra, Universitat de Valencia, 46100, Burjassot, Valencia, Spain
|
| |
| Abstract: | A long-standing conjecture proposes that a Sylow 2-subgroup S of a finite rational group must be rational. In this paper we provide a counterexample to this conjecture, but we show that if G is solvable and S has nilpotence class 2, then S actually is rational. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
