A new characteristic subgroup of a p-stable group

作者：Glauberman George^*; Solomon Ronald

来源：Journal of Algebra, 2012, 368: 231-236.

DOI：10.1016/j.jalgebra.2012.07.008

• Sylow p-subgroup
• p-Stable group
• Characteristic subgroup

We define a new non-identity characteristic subgroup, D* (S), of a finite p-group S. and prove that D* (S) is characteristic in a significant family of p-stable finite groups G having S as a Sylow p-subgroup. This result is analogous to an earlier result about Z J (S) by the first author and has a very short proof.

• 出版日期2012-10-15