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Results tagged with p-groups
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user 32332
3
votes
Accepted
Number of generators of the automorphism group of an abelian group
For the special case that $G=(\mathbb{Z}/p\mathbb{Z})^n$, this is true.
Then we have $d(G)=n$ and $Aut (G)=GL(n,p)$. In the article of A. Patterson, "The minimal number of generators for $p$-subgroups …
- 12.1k
9
votes
Which finite p-groups occur as commutators of finite p-groups?
There are some results for special cases. Burnside has proved in $1912$ that,
if $G$ is a non-metabelian $p$-group, then the centre of the derived group of $G$ cannot be
cyclic. In particular, a non- …
- 12.1k