Orders of some modular linear groups.
Orders of subsemigroups of Tn.
Ordre maximal d’un élément du groupe des permutations et «highly composite numbers»
Ordre minimum des boucles de Moufang commutatives de classe 2 (Resp. 3)
Ordres maximaux
Orthodox bands of modules
Orthodox congruences on regular semigroups.
Orthodox semidirect products and wreath products of monoids.
Orthodox semigroups.
Orthodox semigroups whose idempotents satisfy a certain identity.
Orthodox semigroups with complemented congruence lattices.
Orthodox -semigroups.
Orthogonal Groups of Dyadic Unimodular Quadratic Forms.
Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
Orthogonality of immanants
O-simple strictly regular semigroups.
Outer automorphism groups of Bieberbach groups.
Outer Automorphisms Centralizing Every Abelian Subgroup of a Finite Group.
Outer Automorphisms Centralizing Every Nilpotent Subgroup of a Finite Group.
Overlapping latin subsquares and full products
We derive necessary and sufficient conditions for there to exist a latin square of order containing two subsquares of order and that intersect in a subsquare of order . We also solve the case of two disjoint subsquares. We use these results to show that: (a) A latin square of order cannot have more than subsquares of order , where . Indeed, the number of subsquares of order is bounded by a polynomial of degree at most in . (b) For all there exists a loop of order in which every...