The 5-modular characters of the McLaughlin group and its covering group.
The Abelian defect group conjecture.
The abelianization of hypercyclic groups
Let G be a hypercyclic group. The most substantial results of this paper are the following. a) If G/G′ is 2-divisible, then G is 2-divisible. b) If G/G′ is a 2′-group, then G is a 2′-group. c) If G/G′ is divisible by finite-of-odd-order, then G/V is divisible by finite-of-odd-order, where V is the intersection of the lower central series (continued transfinitely) of O 2′ (G).
The abelianization of the Johnson kernel
We prove that the first complex homology of the Johnson subgroup of the Torelli group is a non-trivial, unipotent -module for all and give an explicit presentation of it as a -module when . We do this by proving that, for a finitely generated group satisfying an assumption close to formality, the triviality of the restricted characteristic variety implies that the first homology of its Johnson kernel is a nilpotent module over the corresponding Laurent polynomial ring, isomorphic to the...
The absence of efficient dual pairs of spanning trees in planar graphs.
The absolute Galois group of a pseudo p-adically closed field.
The absolute Galois group of a pseudo real closed field
The accessibility of finitely presented groups.
The a-congruences on S(X) and the S-equivalences on X.
The Action of Nilpotent Groups on Infinite Graphs.
The action of the symmetric group on a generalized partition semilattice.
The actions of Sn+1 and Sn on the cohomology ring of a Coxeter arrangement of type An-1.
The adjoint representation of group algebras and enveloping algebras.
In this paper we study the Hopf adjoint action of group algebras and enveloping algebras. We are particularly concerned with determining when these representations are faithful. Delta methods allow us to reduce the problem to certain better behaved subalgebras. Nevertheless, the problem remains open in the finite group and finite-dimensional Lie algebra cases.
The admissable trace problem for E-unitary inverse semigroups.
The Algbraic von Neumann Kernel and Linear Algebraic Groups.
The algebra of the subspace semigroup of
The semigroup of subspaces of the algebra of 2 × 2 matrices over a finite field is studied. The ideal structure of S, the regular -classes of S and the structure of the complex semigroup algebra ℂ[S] are described.
The Algebraic Braid Groups are Torsion-Free: an Algebraic Proof.
The Alperin-McKay conjecture holds in the covering groups of symmetric and alternating groups, p ... 2.
The alternating semigroups: Generators and congruences.
The amalgamation basis of the category of compact groups.