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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
0 votes
1 answer
143 views

Faithful representation of group of order $p^4$

In the (xi) group of the classification of groups of order $p^4$ given by W.Burnside in his book, "Theory of groups of finite order". The group ($\mathbb{Z}_{p^{2}}\rtimes \mathbb{Z}_{p^{}}) ...
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
6 votes
3 answers
965 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