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6 votes
1 answer
621 views

On classifying groups of order $p^5$

Can someone suggest me some source where the author has classified all non-isomorphic groups of order $p^5$ ? I need complete classification (not upto isoclinism), and also in finitely presented form ....
HIMANSHU's user avatar
  • 381
7 votes
0 answers
405 views

How can I get my hands on McKay's "Finite p-groups" lecture notes?

How can we find Susan McKay's "Finite $p$-groups" lecture notes? The notes I'm talking about are these. I emailed Peter Cameron, but he has since moved to a different university, and has no ...
Steve D's user avatar
  • 4,425
4 votes
0 answers
193 views

On a problem of Berkovich

What is the real history of the following problem proposed by Berkovich [Y. Berkovich, Z.Janko, Groups of prime power order. Volume 2, Expositions in Mathematics, 56, Walter de Gruyter, New York, 2011]...
S. Mohsen Ghoraishi's user avatar
6 votes
3 answers
964 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 ...
Pablo's user avatar
  • 11.3k
1 vote
1 answer
242 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 ...
TheForumLord's user avatar