On transitive commutative idempotent quasigroups
1979 ◽
Vol 27
(4)
◽
pp. 411-429
Keyword(s):
AbstractCommutative idempotent quasigroups with a sharply transitive automorphism group G are described in terms of so-called Room maps of G. Orthogonal Room maps and skew Room maps are used to construct Room squares and skew Room squares. Very general direct and recursive constructions for skew Room maps lead to the existence of skew Room maps of groups of order prime to 30. Also some nonexistence results are proved.
1993 ◽
pp. 89-102
◽
2019 ◽
Vol 19
(12)
◽
pp. 2050240
◽
Keyword(s):
2005 ◽
Vol 1
(1)
◽
pp. 191-196
◽
1985 ◽
Vol 38
(2)
◽
pp. 192-202
◽
1979 ◽
Vol 48
(1)
◽
pp. 171-202
◽
1993 ◽
Vol 25
(1)
◽
pp. 1-6
◽
Keyword(s):
1999 ◽
Vol 32
(3)
◽
pp. 229-233
◽