Some embedding theorems in varieties of semigroups.
Some Examples in the Theory of Injectors of Finite Soluble Groups.
Some examples of Bol loops
Some examples of discrete groups and hyperbolic orbifolds of infinite volume.
Some Examples of Rigid Representations
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give necessary and sufficient conditions for the choice of the conjugacy classes Cj ⊂ GL(n,C) (resp. cj ⊂ gl(n,C)) so that there exist irreducible (p+1)-tuples of matrices Mj ∈ Cj (resp. Aj ∈ cj) satisfying the equality M1 . . .Mp+1 = I (resp. A1+. . .+Ap+1 = 0). The matrices Mj and Aj are interpreted as monodromy operators and as matrices-residua of fuchsian systems on Riemann’s sphere. We give new examples...
Some families of finite groups and their rings of invariants
Some finite congruence lattices, I
Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated.
Some finiteness conditions on indecomposable operands.
Some finiteness properties of adele groups over number fields
Some Free Submonoids of the Free Monoid of Prefix Codes.
Some generalisations of Chebyshev polynomials and their induced group structure over a finite field
Some generalizations of torsion-free Crawley groups
In this paper we investigate two new classes of torsion-free Abelian groups which arise in a natural way from the notion of a torsion-free Crawley group. A group is said to be an Erdős group if for any pair of isomorphic pure subgroups with , there is an automorphism of mapping onto ; it is said to be a weak Crawley group if for any pair of isomorphic dense maximal pure subgroups, there is an automorphism mapping onto . We show that these classes are extensive and pay attention to...
Some Generalized Characters of Finite Chevalley Groups.
Some generalized Coxeter groups and their orbifolds.
In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a (Z-extension of a) generalized Coxeter group. Some of these orbifolds have either euclidean, spherical or hyperbolic structure. As an application, we obtain an alternative proof of theorem 1 of Hagelberg, Maclaughlan and Rosenberg in [5]. We also obtain a similar result for generalized Coxeter groups.
Some Geometrical Examples of an IMC-Quasigroup
Some group theoretic problems inspired by ring theoretic analogies.
Some groups whose reduced -algebra is simple
Some Groups with Non-Trivial Multiplicators.
Some infinite p-groups.