Related papers: A Borel maximal cofinitary group

We construct a Borel maximal eventually different family.

Using countable support iteration of $S$-proper posets, for some appropriate stationary set $S$, we obtain a generic extension of the constructible universe, in which $\mathfrak{b}=\mathfrak{c}=\aleph_2$ and there is a maximal cofinitary…

Improving and clarifying a construction of Horowitz and Shelah, we show how to construct (in $\textsf{ZF}$, that is, without using the Axiom of Choice) maximal cofinitary groups. Among the groups we construct, one is definable by a formula…

A finitely generated solvable group with unbounded iterated identity is constructed.

We survey new results on finite groups of birational transformations of algebraic varieties.

We construct a finitely presented (two-sided) totally orderable group with insoluble word problem.

An elementary approach to the construction of Coxeter group representations is presented.

Computations in the cohomology of finite groups.

We construct a finitely generated group that does not satisfy the generalized Burghelea conjecture.

We develop structure theory of finite Lie conformal superalgebras.

Necessary and sufficient conditions for finite commutative semihypergroups to be built from abelian groups of the same order are established.

We compute the equivariant (stable) complex cobordism ring $(MU_G)_*$ for finite abelian groups $G$.

This paper constructs a Weyl group of a fundamental sandwich algebra.

We study two different types of (maximal) almost disjoint families: very mad families and (maximal) cofinitary groups. For the very mad families we prove the basic existence results. We prove that MA implies there exist many pairwise…

Necessary and sufficient conditions for finite semihypergroups to be built from groups of the same order are established

We describe the structure of finite Boolean inverse monoids and apply our results to the representation theory of finite inverse semigroups. We then generalize to semisimple Boolean inverse semigroups.

In this note we give a classification of the Maximal order Abelian subgroups of finite irreducible Coxeter groups. We also prove a Weyl group analogue of Cartan's theorem that all maximal tori in a connected compact Lie group are conjugate.

We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite…

This paper deals with some results concerning finitely generated coreduced comultiplication modules over a commutative ring.

In this work we carry out a complete group classification of Burgers' equations.