TY - UNPB
T1 - Finite loops arising from projective 3-space
AU - Pasotti, Stefano
AU - Pianta, Silvia
AU - Zizioli, Elena
PY - 2017
Y1 - 2017
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, group, transversal, section, maximal subgroup, line, plane, projective space
KW - Left loop, loop, group, transversal, section, maximal subgroup, line, plane, projective space
UR - http://hdl.handle.net/10807/98955
UR - http://semmat.dmf.unicatt.it/cgi-bin/preprintserv/semmat/quad2017n07
U2 - 10.1007/s13366-017-0356-4
DO - 10.1007/s13366-017-0356-4
M3 - Working paper
SN - ISSN: 2039-120X
BT - Finite loops arising from projective 3-space
ER -