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]
Autori: | |
Titolo: | Finite loops arising from projective 3-space |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s13366-017-0356-4 |
URL: | http://semmat.dmf.unicatt.it/cgi-bin/preprintserv/semmat/Quad2017n07 |
Data di pubblicazione: | 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). |
Lingua: | Inglese |
Titolo del libro: | Finite loops arising from projective 3-space |
ISBN: | ISSN: 2039-120X |
Citazione: | 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] |
Appare nelle tipologie: | Quaderno, Working paper, Paper (di dipartimento / istituto / progetti) |
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