All minimal CL-subgroups have the same derived subgroup
From Groupprops
(Redirected from All minimal CL-subgroups have the same commutator subgroup)
Statement
Suppose is a group of prime power order. Then, if
are two Minimal CL-subgroup (?)s of
, the Commutator subgroup (?)s
and
are equal.
References
Textbook references
- Corollary 4.2 (Page 490) of Centrally large subgroups of finite p-groups by George Isaac Glauberman, Journal of Algebra, ISSN 00218693, Volume 300,Number 2, Page 480 - 508(Year 2006): Official copyMore info