The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group
| Autor: | Javier Otal, Leonid A. Kurdachenko |
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| Rok vydání: | 2013 |
| Předmět: |
Discrete mathematics
20f19 Series (mathematics) 20f14 Group (mathematics) finite special rank General Mathematics upper central series Central series Rank of an abelian group Combinatorics generalized radical group baer theorem hypercentral group Simple group QA1-939 Rank (graph theory) 20f99 Classification of finite simple groups lower central series schur theorem Mathematics Z-group |
| Zdroj: | Open Mathematics, Vol 11, Iss 10, Pp 1732-1741 (2013) |
| ISSN: | 2391-5455 |
| DOI: | 10.2478/s11533-013-0284-y |
| Popis: | We compare the special rank of the factors of the upper central series and terms of the lower central series of a group. As a consequence we are able to show some generalizations of a theorem of Reinhold Baer. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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