On determination of a cyclic order
On dicyclic groups as inner mapping groups of finite loops
Let be a finite group with a dicyclic subgroup . We show that if there exist -connected transversals in , then is a solvable group. We apply this result to loop theory and show that if the inner mapping group of a finite loop is dicyclic, then is a solvable loop. We also discuss a more general solvability criterion in the case where is a certain type of a direct product.
On diffeomorphisms over surfaces trivially embedded in the 4-sphere.
On dihedral 2-groups as inner mapping groups of finite commutative inverse property loops
We show that finite commutative inverse property loops may not have nonabelian dihedral 2-groups as their inner mapping group.
On dimensions in Bredon homology.
On Direct Decomposition of Torsion Free Abelian Groups.
On direct decompositions of torsion-free abelian groups of finite rank
On Direct Summands of A-Separable R-Modules.
On direct sums of -groups
A necessary and sufficient condition is given for the direct sum of two -groups to be (quasi-isomorphic to) a -group. A -group is a torsionfree Abelian group that can be realized as the quotient of a finite direct sum of rank 1 groups modulo a pure subgroup of rank 1.
On direct sums of -groups – II
-groups are a class of torsionfree Abelian groups of finite rank, part of the main class of Butler groups. In the paper C. Metelli, On direct sums of -groups, Comment. Math. Univ. Carolinae 34 (1993), 587–591, the problem of direct sums of -groups was discussed, and a necessary and sufficient condition was given for the direct sum of two -groups to be a -group. While sufficiency holds, necessity was wrongly claimed; we solve here the problem, and in the process study a curious hierarchy among...
On disjoint covering of groups by their cosets
On divisibility in definable groups
Let ℳ be an o-minimal expansion of a real closed field. It is known that a definably connected abelian group is divisible. We show that a definably compact definably connected group is divisible.
On double coverings of some rotary hypermaps.
On dual semigroups
On Dual Semigroups
On duality of submodule lattices
An elementary proof is given for Hutchinson's duality theorem, which states that if a lattice identity λ holds in all submodule lattices of modules over a ring R with unit element then so does the dual of λ.
On Dye's condition in nilpotent groups of class 2
On Ek-semigroups.
On elementary equivalence of abelian groups
On elongations of totally projective -groups by -projective -groups