On the immersion of topological semigroups in topological groups

The Ore sufficient condition for imbedding of a semigroup in a group is extended to the case of topological semigroups. Imbedding conditions for a locally compact topological semigroup in a locally bicompact topological group are studied.Translated from Matematicheskie Zametki, Vol. 6, No. 4, October, 1969, pp. 401–409.