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Results tagged with gr.group-theory
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user 40128
Questions about the branch of algebra that deals with groups.
2
votes
0
answers
238
views
Questions about some finite p-groups of coclass 2
I have two questions about a specific type of finite $p$-groups that i've seen in an interesting work on automorphisms of finite p-groups.
Let $G$ a finite $p$-group of order $p^{n}$ such that:
- $ …
1
vote
1
answer
768
views
Groups in which lower central series and upper central series coincide
Let $G$ a finite two-generated $p$-group in which lower and upper central series coincide. Clearly we obtain that the upper central series become strongly central, we have also that at least half of …
0
votes
1
answer
500
views
Centralizer of derived subgroup
In all questions suppose $G$ metabelian p-group such that
G is not regular ( so $cl(G) \geq p$ ), G is not a wreath product;
$Z(G) \leq \phi(G)$.
1) Let $M$ normal abelian subgroup of $G$ such th …