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, Stefano
Secondo
;
Pianta, Silvia
Primo
;
Zizioli, Elena
Ultimo
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).
Inglese
Finite loops arising from projective 3-space
ISSN: 2039-120X
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/98955
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