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Results tagged with gr.group-theory
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user 111864
Questions about the branch of algebra that deals with groups.
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Automorphisms of nilpotent groups of class two
Is there any article that help me study automorphisms of nilpotent groups of class two with cyclic center?
In "Odd order nilpotent groups of class two with cyclic centre, Y. K. Leong (1974)" there is …
- 4,713
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automorphisms of a finite $p$-group
If $G=\langle a, b : a^{p^{n}}= 1= b^{p^{n+1}}, [b, a]= b^{p} \rangle$, such that
$n\geq 2$ and $p$ is an odd prime number, then how can I define a non-inner automorphism of $G$? Is it possible to f …
- 7,217
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central automorphisms
Let $C_{Aut_{c}(G)}(Z(G))$ be the group of all central automorphisms of finite non abelian $p$-group $G$ fixing $Z(G)$ element wise. If $C_{Aut_{c}(G)}(Z(G))$ is a proper subgroup …
- 21