Properties of element orders in covers for L(n,q) and U(n,q)
| dc.creator | Zavarnitsine, Andrei V. | |
| dc.date | 2008-02-08 | |
| dc.date.accessioned | 2026-07-07T10:14:24Z | |
| dc.date.available | 2026-07-07T10:14:24Z | |
| dc.description | We show that if a finite simple group G isomorphic to PSL(n,q) or PSU(n,q), where either $n\ne 4$, or q is prime or even, acts on a vector space over a field of the defining characteristic of G, then the corresponding semidirect product contains an element whose order is distinct from every element order of G. As a consequence, we prove that the group PSL(n,q), where $n\ne 4$ or q prime or even, is recognizable by spectrum from its covers thus giving a partial positive answer to Problem 14.60 from the Kourovka notebook. | |
| dc.identifier | https://arxiv.org/abs/0802.1094 | |
| dc.identifier | http://arxiv.org/abs/0802.1094 | |
| dc.identifier | Sibirsk. Mat. Zh. 49 (2008), no. 2, 309--322 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172866 | |
| dc.subject | Group Theory | |
| dc.subject | 20C33; 20D60 | |
| dc.title | Properties of element orders in covers for L(n,q) and U(n,q) | |
| dc.type | text |