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Results tagged with finite-groups
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user 84772
Questions on group theory which concern finite groups.
4
votes
0
answers
745
views
Lifting automorphisms of quotient groups
I am concerning here a natural question:
Problem: Let $G$ be a finite group, and let $N$ be a characteristic subgroup of $G$. When can an automorphism $\varphi\in\mathrm{Aut}(G/N)$ be lifted to an …
- 261
3
votes
1
answer
803
views
Groups with abelian automorphism group
In a paper, the authors Jonah-Konvisser say
Until recently (~1975), there were no published examples of non-abelian groups with abelian automorphism groups. Heinken and Liebeck have methods for c …
- 261
3
votes
2
answers
336
views
Frobenius Groups of Automorphisms
Recently, I am looking different papers on the topic
$$\mbox{Frobenius groups of automorphisms of a group.}$$
But I am familiar with Frobenius groups only; not with their (faithful) actions on groups. …
- 261