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).
Pasotti, S., Pianta, S., Zizioli, E., Finite loops arising from projective 3-space, <<Finite loops arising from projective 3-space>>, 2017; (07/17): 1-14. 10.1007/s13366-017-0356-4 [http://hdl.handle.net/10807/98955]
Finite loops arising from projective 3-space
Pasotti, StefanoSecondo
;Pianta, SilviaPrimo
;Zizioli, ElenaUltimo
2017
Abstract
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).
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
