Latest Articles for Group Theory

Examining the links between group theory, symmetric spaces, and algebraic structures.

Explore the structure and properties of triangle groups in mathematics.

Examining the connections between sum of squares polynomials and their properties in mathematics.

Researchers use random methods to analyze locally symmetric manifolds and group properties.

Examining finite groups with real irreducible representations of different dimensions.

Investigating the behavior of random subgroups in free groups and related concepts.

Exploring the significance of dimensions in finite group theory.

An overview of the complexities in ideal membership within mathematical rings.

Exploring the properties of discrete subgroups in normed spaces and their classifications.

This study explores the role of bimodules in group algebras and modular representation theory.

This article explores blocks of groups with a focus on p-solvable structures and Broué's conjecture.

Explore how linear groups relate through universal equivalence in local rings.

A look into Fano planes and their connection to group theory.

A look into the Twisted Group Ring Isomorphism Problem in group theory.

An exploration of unique properties and boundaries in Carnot groups.

Examining a Markov chain on finite abelian groups linked to the Cohen-Lenstra distribution.

A look into hyperbolic groups, their growth, and boundary representations.

An overview of group theory focusing on virtually polycyclic groups and their significance.

This article explores how finite groups relate to symmetric groups through normalizer quotients.

An overview of the significance and classification of finite simple groups.

An overview of multipliers and their role in locally compact groups.

Exploring the significance of finite simple groups in mathematics.

Exploring the relationship between finitely presented groups and planar Cayley graphs.

A look at soficity and its role in group theory.

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

A look at automorphisms, field extensions, and their intricate relationships.

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

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

A look into unitary groups, von Neumann algebras, and the universal covering group.

A look into the arrangement and parameters of 3-designs in mathematics.

An overview of group algebras, circulant rings, and modular representation theory.

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

Explore the role of characters in analyzing group structures and their properties.

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

This paper examines perfect state transfer in graphs related to linear groups.

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

This study reveals the existence of non-trivial automorphisms in Polish groups.

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

This article examines the link between groups and number fields in algebra.

Exploring the relationships between groups and manifolds through the Nielsen realization problem.