The mixed product decompositions of partially ordered groups
The modular characters of the twisted Chevalley group 2D4(2) over GF2.
In this paper we calculate the 2-modular character table of the twisted Chevalley group 2D4(2) using computer techniques available in an algebra package called Meat-Axe. This package is now available in Mu'tah University as well as other universities such as Birmingham University in the UK and Aachen University in Germany. The determination of this character table will be a contribution to modular calculations of various simple groups.
The modular group action on real characters of a one-holed torus.
The modular representation theory of q-Schur algebras. II.
The Modular Symbol and Continued Fractions in Higher Dimensions.
The monoid of generalized hypersubstitutions of type τ = (n)
A (usual) hypersubstitution of type τ is a function which takes each operation symbol of the type to a term of the type, of the same arity. The set of all hypersubstitutions of a fixed type τ forms a monoid under composition, and semigroup properties of this monoid have been studied by a number of authors. In particular, idempotent and regular elements, and the Green’s relations, have been studied for type (n) by S.L. Wismath. A generalized hypersubstitution of type τ=(n) is a mapping σ which takes...
The monoid of ordered partitions of a natural number.
The monoid of semisimple multiclasses of the group .
The monoid of strong endomorphisms of a graph.
The monoid of suspensions and loops modulo Bousfield equivalence
The suspension and loop space functors, Σ and Ω, operate on the lattice of Bousfield classes of (sufficiently highly connected) topological spaces, and therefore generate a submonoid ℒ of the complete set of operations on the Bousfield lattice. We determine the structure of ℒ in terms of a single parameter of homotopy theory which is closely tied to the problem of desuspending weak cellular inequalities.
The monomorphism semigroup of S(X).
The multiplicative behavior of H.
The multiplicative group of a local skew field as Galois group.
The multipliers of similitudes and the Brauer group of homogeneous varieties.
The th root of a braid is unique up to conjugacy.
The natural partial order on an R-cancelative semigroup
The nil Hecke ring and Deodhar's conjecture on Bruhat intervals.
The nil Hecke ring and singularity of Schubert varieties.
The nil-degree of a torsion-free Abelian group
The nilpotency of some groups with all subgroups subnormal.
Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.