Mathematics - Group Theory

Exploring the role of Banach metrics in understanding group structures and their properties.

An overview of Artin groups, their properties, and associated challenges.

This article examines special unitary groups and their significance in quantum mechanics.

An exploration of order-divisor graphs and their significance in mathematics.

A look into sofic actions and their significance in group theory.

A novel algorithm improves calculations for theta functions in Schottky groups.

This paper examines the role of RL in solving the Andrews-Curtis conjecture.

This article explores important aspects of nilpotent injectors and Carter subgroups in group theory.

A look into the stability of mathematical structures like Lie algebras and groups.

A new method improves satellite coordination for efficient Earth observation.

Examining the interplay between van der Corput sets and amenable groups.

Discover the unique properties of weakly systolic complexes in geometry and topology.

Examining random unitary matrices and their implications in representation theory.

A clear look at hierarchical hyperbolic groups and their subgroup interactions.

Explore derangements' role in permutation groups and their implications.

A simple introduction to the properties and significance of thin Heckoid groups.

This article reviews the rigidity properties of simple modules within algebraic groups.

A clear look at train track automata in studying free groups and outer automorphisms.

A look into finite groups and their unique actions on sets.

This article discusses special groups and their conjugacy separability properties.

This article discusses the Submonoid Membership problem in lamplighter groups and its implications.

Exploring the regularity of matrix coefficients in semisimple Lie groups and their implications.

Exploring the properties and significance of Artin and braid groups in mathematics.

Examining point arrangements in regular trees enhances understanding in various scientific fields.

Explore the complexities of infinite type surfaces and their mapping class groups.

Exploring the properties and transformations of Thompson's group in Cantor space.

Cyclic subgroup graphs reveal important relationships between cyclic subgroups in mathematics.

Explore the relationship between groups and snake tiling problems in mathematics.

A study of trees and their measures in Outer Space reveals complex mathematical relationships.

A new approach uses finite groups for clearer insights in quantum mechanics.

Exploring stable class functions and their applications in representation theory and beyond.

Explore the fundamental concepts of Lie groups and algebras in mathematics and physics.

A look into the properties and membership problems of Artin groups.

Research reveals connections between information theory and random processes in discrete groups.

Explore the unique properties and transformations of the Klein bottle in mathematics.

This article examines the complexities of countable ordered groups and their computational implications.

A look into graph theory and its transformations.

Explore the significance of root group data systems in algebra and geometry.

Learn about coboundary expansion and its impact on group dynamics.

A look at how groups interact within mathematical frameworks.