On Groups with Finite Hirsch Number
| Autor: | B.A.F. Wehrfritz |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Advances in Group Theory and Applications, Vol 10, Pp 127-137 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2499-1287 |
| DOI: | 10.32037/agta-2020-012 |
| Popis: | Suppose G is a group with finite Hirsch number h modulo the k-th term of its upper central series. The Hirsch number of the (k + 1)-th term of the lower central series of G is known to be finite and of order bounded in terms of h and k. Here we give simpler proofs leading to simpler and sharper bounds. In particular and perhaps surprisingly, we show that the Hirsch number of the (h + 2k + 1)-th term of the lower central series of G is bounded by h(h + 3)/2; in particular it is bounded independently of k |
| Databáze: | Directory of Open Access Journals |
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