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).
Finite loops arising from projective 3-space
Pasotti S.;Zizioli E.
2018-01-01
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:
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