On the number of subgroups of given index in the modular group.
On the Occurrence of the Complete Graph in the Hasse Graph of a Finite Group
On the Olson and the Strong Davenport constants
A subset of a finite abelian group, written additively, is called zero-sumfree if the sum of the elements of each non-empty subset of is non-zero. We investigate the maximal cardinality of zero-sumfree sets, i.e., the (small) Olson constant. We determine the maximal cardinality of such sets for several new types of groups; in particular, -groups with large rank relative to the exponent, including all groups with exponent at most five. These results are derived as consequences of more general...
On the orbits of Singer groups and their subgroups.
On the Order of Doubly Transitive Permutation Groups.
On the order of transitive permutation groups with cyclic point-stabilizer
If is a transitive permutation group of degree with cyclic point-stabilizer, then the order of is at most .
On the orders of the subsemigroups of the symmetrical semigroup Jn.
On the -length of the product of two Shmidt groups.
On the -supersolubility of a finite group with a -supplemented Sylow -subgroup.
On the partial semi-hypergroups with empty diagonal
On the periodicity of morphisms on free monoids
On the permutation products of manifolds.
On the Pexider equation.
On the Pin-Thérien expansion of idempotent monoids.
On the Point Stabilizer in a Primitive Permutation Group.
On the power semigroup of a finite semigroup
On the power-commutative kernel of locally nilpotent groups.
On the p-periodicity of arithmetic subgroups of general linear groups.
On the prefrattini subgroups of finite soluble groups.
On the prime graphs of the automorphism groups of sporadic simple groups
In this paper as the main result, we determine finite groups with the same prime graph as the automorphism group of a sporadic simple group, except .