Splitting Properties of Hyper-(Rank One) Groups
A group $G$ is said to be an $\mathcal{H}_1$-group (a $P_1$-group, respectively) if it has an ascending (finte, respectively) normal series whose factors have rank $1$. Some splitting and conjugacy theorems for groups with an $\mathcal{H}_1$ (or a $P_1$)-homomorphic image are proved.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Aracne
2016-06-01
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| Series: | Advances in Group Theory and Applications |
| Subjects: | |
| Online Access: | http://www.advgrouptheory.com/journal/Volumes/1/F.%20de%20Giovanni,%20M.%20L.%20Newell%20-%20Splitting%20properties%20of%20hyper-(rank%20one)%20groups.pdf |