TY - JOUR
T1 - Finite loops arising from projective 3-space
AU - Pasotti, Stefano
AU - Pianta, Silvia
AU - Zizioli, Elena
PY - 2018
Y1 - 2018
N2 - 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).
AB - 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).
KW - Left loop, loop transversal, PGL_2(q), PSL_2(q)
KW - Left loop, loop transversal, PGL_2(q), PSL_2(q)
UR - http://hdl.handle.net/10807/115281
U2 - 10.1007/s13366-017-0356-4
DO - 10.1007/s13366-017-0356-4
M3 - Article
SN - 0138-4821
VL - 59
SP - 155
EP - 165
JO - Beitrage zur Algebra und Geometrie
JF - Beitrage zur Algebra und Geometrie
ER -