Nonsurjective epimorphisms in decomposable varieties of groups
| dc.creator | Magidin, Arturo | |
| dc.date | 1998-07-21 | |
| dc.date.accessioned | 2026-07-07T05:25:28Z | |
| dc.date.available | 2026-07-07T05:25:28Z | |
| dc.description | A full characterization of when a subgroup $H$ of a group $G$ in a varietal product ${\cal NQ}$ is epimorphically embedded in $G$ (in the variety ${\cal NQ}$) is given. From this, a result of S.~McKay is derived, which states that if ${\cal NQ}$ has instances of nonsurjective epimorphisms, then ${\cal N}$ also has instances of nonsurjective epimorphisms. Two partial converses to McKay's result are also given: when~$G$ is a finite nonabelian simple group; and when~$G$ is finite and ${\cal Q}$ is a product of varieties of nilpotent groups, each of which contains the infinite cyclic group. | |
| dc.description | Play TeX, 16 pp | |
| dc.identifier | https://arxiv.org/abs/math/9807117 | |
| dc.identifier | http://arxiv.org/abs/math/9807117 | |
| dc.identifier | Algebra univers. 48 (2002) 145-150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77190 | |
| dc.subject | Group Theory | |
| dc.subject | 08B25, 20E10, 20J99 | |
| dc.title | Nonsurjective epimorphisms in decomposable varieties of groups | |
| dc.type | text |