A characterization of Schmidt groups by their endomorphism semigroups
| dc.creator | Puusemp, Peeter | |
| dc.date | 2002-10-24 | |
| dc.date.accessioned | 2026-07-07T04:52:18Z | |
| dc.date.available | 2026-07-07T04:52:18Z | |
| dc.description | A {\it Schmidt group} is a non-nilpotent finite group in which each proper subgroup is nilpotent. Each Schmidt group G can be described by three parameters p, q and v, where p and q are different primes and v is a natural number, $v\ge 1$. Denote by ${\mathcal{S}}$ the class of all Schmidt groups which have the same parameters p, q and v. It is shown in this paper that the class ${\mathcal{S}}$ can be characterized by the properties of the endomorphism semigroups of the groups of this class. It follows from this characterization that if $G\in {\mathcal{S}}$ and H is another group such that the endomorphism semigroups of G and H are isomorphic, then $H\in {\mathcal{S}}$, too. | |
| dc.description | LATEX2.09, 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210380 | |
| dc.identifier | http://arxiv.org/abs/math/0210380 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65419 | |
| dc.subject | Group Theory | |
| dc.subject | 20F99, 20M20 | |
| dc.title | A characterization of Schmidt groups by their endomorphism semigroups | |
| dc.type | text |