A block theoretic analogue of a theorem of Glauberman and Thompson |
| |
| Authors: | Radha Kessar Markus Linckelmann |
| |
| Institution: | Department of Mathematics, University College, High Street, Oxford OX14BH, United Kingdom ; CNRS, Université Paris 7, UFR Mathématiques, 2, place Jussieu, 75251 Paris Cedex 05, France |
| |
| Abstract: | If  is an odd prime,  a finite group and  a Sylow- -subgroup of  , a theorem of Glauberman and Thompson states that  is  -nilpotent if and only if  is  -nilpotent, where  is the Thompson subgroup of  generated by all abelian subgroups of  of maximal order. Following a suggestion of G. R. Robinson, we prove a block-theoretic analogue of this theorem. |
| |
| Keywords: | |
|
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 |
|
