A condition for the solvability of finite groups.
A condition on a certain variety of groups
A conjecture on the concatenation product
In a previous paper, the authors studied the polynomial closure of a variety of languages and gave an algebraic counterpart, in terms of Mal’cev products, of this operation. They also formulated a conjecture about the algebraic counterpart of the boolean closure of the polynomial closure – this operation corresponds to passing to the upper level in any concatenation hierarchy. Although this conjecture is probably true in some particular cases, we give a counterexample in the general case. Another...
A conjecture on the concatenation product
In a previous paper, the authors studied the polynomial closure of a variety of languages and gave an algebraic counterpart, in terms of Mal'cev products, of this operation. They also formulated a conjecture about the algebraic counterpart of the boolean closure of the polynomial closure – this operation corresponds to passing to the upper level in any concatenation hierarchy. Although this conjecture is probably true in some particular cases, we give a counterexample in the general case....
A conjugacy theorem for subgroups of containing the group of diagonal matrices
A Connection between the Integral Homology and the Centre of a Rational Linear Group.
A consequence of a theorem of L. Fuchs
A construction of Bruck loops
A construction of commutative Moufang loops and quasimodules
A construction of inverse semigroups.
A Construction of Representations of Weyl Groups.
A construction of right groups from a connected groupoid.
A constructive Approach to Noether's Problem.
A constructive proof that every 3-generated l-group is ultrasimplicial
We discuss the ultrasimplicial property of lattice-ordered abelian groups and their associated MV-algebras. We give a constructive proof of the fact that every lattice-ordered abelian group generated by three elements is ultrasimplicial.
A contribution to the theory of finite supersoluble groups
A counterexample in the cohomology of monoids.
A counter-example on *-embeddability into proper *-rings.
A counting theorem in the semigroup of circulant Boolean matrices
A Criterion for n-Fold Transitivity of Transformation Groups.
A cross section theorem for certain compact abelian semigroups.