On cyclic commutator subgroups. (Short Communication).
On cyclic groups
On Cyclic Groups of Möbius Transformations.
On cyclic hypergroups with period
On cyclic subgroups of the group .
On D. I. Moldavanskij's question on -separable subgroups of a free group.
On D'Alembert's functional equation on a Abelian group.
On D-connected sets in the space
On decomposability of finite groups
Let be a finite group. A normal subgroup of is a union of several -conjugacy classes, and it is called -decomposable in if it is a union of distinct -conjugacy classes. In this paper, we first classify finite non-perfect groups satisfying the condition that the numbers of conjugacy classes contained in its non-trivial normal subgroups are two consecutive positive integers, and we later prove that there is no non-perfect group such that the numbers of conjugacy classes contained in its...
On decomposable fully transitive torsion-free groups.
On decomposable pseudofree groups.
On decompositions of groupoids
On Decomposititons of Discontinuous Groups of the Plane.
On dedekind monoids.
On deficient products in infinite groups
On deformations of hyperbolic 3-manifolds with geodesic boundary.
On degrees of three algebraic numbers with zero sum or unit product
Let α, β and γ be algebraic numbers of respective degrees a, b and c over ℚ such that α + β + γ = 0. We prove that there exist algebraic numbers α₁, β₁ and γ₁ of the same respective degrees a, b and c over ℚ such that α₁ β₁ γ₁ = 1. This proves a previously formulated conjecture. We also investigate the problem of describing the set of triplets (a,b,c) ∈ ℕ³ for which there exist finite field extensions K/k and L/k (of a fixed field k) of degrees a and b, respectively, such that the degree of the...
On delta sets and their realizable subsets in Krull monoids with cyclic class groups
Let M be a commutative cancellative monoid. The set Δ(M), which consists of all positive integers which are distances between consecutive factorization lengths of elements in M, is a widely studied object in the theory of nonunique factorizations. If M is a Krull monoid with cyclic class group of order n ≥ 3, then it is well-known that Δ(M) ⊆ {1,..., n-2}. Moreover, equality holds for this containment when each class contains a prime divisor from M. In this note, we consider the question of determining...
On Density Properties of Certain Subgroups with Boundedness Conditions.
On determinacies of monoids.