On subgroups of free Burnside groups of large odd exponent
| dc.creator | Ivanov, S. V. | |
| dc.date | 2002-10-13 | |
| dc.date.accessioned | 2026-07-07T04:51:53Z | |
| dc.date.available | 2026-07-07T04:51:53Z | |
| dc.description | We prove that every noncyclic subgroup of a free $m$-generator Burnside group $B(m,n)$ of odd exponent $n \gg 1$ contains a subgroup $H$ isomorphic to a free Burnside group $B(\infty,n)$ of exponent $n$ and countably infinite rank such that for every normal subgroup $K$ of $H$ the normal closure $<K >^{B(m,n)}$ of $K$ in $B(m,n)$ meets $H$ in $K$. This implies that every noncyclic subgroup of $B(m,n)$ is SQ-universal in the class of groups of exponent $n$. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210191 | |
| dc.identifier | http://arxiv.org/abs/math/0210191 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65270 | |
| dc.subject | Group Theory | |
| dc.subject | 20E07, 20F05, 20F50 | |
| dc.title | On subgroups of free Burnside groups of large odd exponent | |
| dc.type | text |