6
votes
3answers
299 views

Union of conjugates of a subgroup

Let $G$ be a finite group, $H \leq G$ a proper subgroup. It is well known that the union of the conjugates of $H$ does not cover $G$. I would like to know of more precise results (even in special ...
1
vote
1answer
214 views

Normal subgroups In a p-group [Reference?]

Dear Experts, I'm a graduate student, dealing with group-theory. In my current research, I used the bound "Alexander Gruber" wrote about in this post: See Here (Actually, I have just found out ...