Relationships between the Factors of the Central Series and the Nilpotent Residual in Some Infinite Groups
We consider some natural relationships between the factors of the central series in groups. It was proved that if $G$ is a locally generalized radical group and $G/\zeta_k(G)$ has finite section $p$-rank $r$ (for some positive integer $k$), then $G$ includes a normal subgroup $L$ such that $G/L$ is...
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| Format: | Article |
| Language: | English |
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Aracne
2017-06-01
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| Series: | Advances in Group Theory and Applications |
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| Online Access: | http://www.advgrouptheory.com/journal/Volumes/4/A.A.%20Pypka%20-%20Relationships%20between%20the%20factors%20of%20the%20central%20series%20and%20the%20nilpotent%20residual%20in%20some%20infinite%20groups.pdf |