By means of the method of transversals and sections we build up (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).
|Numero di pagine||14|
|Stato di pubblicazione||Pubblicato - 2017|
- Left loop, loop, group, transversal, section, maximal subgroup, line, plane, projective space