Abstract
By means of the method of transversals and sections we build up\r\n(left) loops (L,∗) contained in the group G where G = PGL_2(q) or G = PSL_2(q), q >3 odd. Since such groups can be embedded in PG(3,q), the subgroups we considered for the construction of (L,∗) are geometrically relevant (lines or planes of PG(3,q)) or algebraically relevant (maximal subgroups).
| Lingua originale | Inglese |
|---|---|
| Pagine | 1-14 |
| Numero di pagine | 14 |
| DOI | |
| Stato di pubblicazione | Pubblicato - 2017 |
All Science Journal Classification (ASJC) codes
- Algebra e Teoria dei Numeri
- Geometria e Topologia
Keywords
- Left loop
- group
- line
- loop
- maximal subgroup
- plane
- projective space
- section
- transversal