Mathematics - Group Theory

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Group Theory An Insight Into Weakly Systolic Complexes

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

Ioana-Claudia Lazar

2025-06-11T18:01:54+00:00 ― 5 min read

Latest Articles

Group Theory Understanding Train Track Automata and Their Role

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

Catherine Eva Pfaff

2025-06-09T20:09:09+00:00 ― 6 min read

Group Theory Understanding Group Actions and Their Structures

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

Sebastian Meyer, Florian Starke

2025-06-09T08:47:31+00:00 ― 6 min read

Group Theory Examining Conjugacy Separability in Groups

This article discusses special groups and their conjugacy separability properties.

Alexander Bishop, Michal Ferov, Mark Pengitore

2025-06-09T07:28:52+00:00 ― 5 min read

Group Theory Examining Submonoid Membership in Lamplighter Groups

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

Ruiwen Dong

2025-06-08T17:29:56+00:00 ― 7 min read

Group Theory Understanding Regularity in Semisimple Lie Groups

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

Guillaume Dumas

2025-06-08T09:38:02+00:00 ― 6 min read

Group Theory Artin Groups and Braid Groups: An Overview

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

Robert D. Gray, Carl-Fredrik Nyberg-Brodda

2025-06-05T23:57:26+00:00 ― 6 min read

Probability The Role of Hyperuniformity in Regular Trees

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

Mattias Byléhn

2025-06-05T20:01:29+00:00 ― 6 min read

Group Theory Infinite Type Surfaces and Their Mapping Class Groups

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

Juhun Baik

2025-06-04T21:44:26+00:00 ― 5 min read

Group Theory An Insight into Thompson's Group and Cantor Space

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

James Belk, Collin Bleak, Martyn Quick

2025-06-04T20:52:00+00:00 ― 4 min read

Group Theory Understanding Cyclic Subgroup Graphs in Group Theory

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

Khyati Sharma, A. Satyanarayana Reddy

2025-06-04T13:26:19+00:00 ― 5 min read

Group Theory Connecting Snakes and Groups: A Research Overview

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

Laurent Bartholdi, Ville Salo

2025-06-03T17:46:34+00:00 ― 5 min read

Group Theory Investigating Trees in Outer Space

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

Mladen Bestvina, Elizabeth Field, Sanghoon Kwak

2025-06-03T15:09:16+00:00 ― 5 min read

Quantum Physics Simplifying Quantum Mechanics with Finite Groups

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

V. V. Kornyak

2025-06-02T17:54:12+00:00 ― 5 min read

Combinatorics Stable Class Functions in Linear Groups

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

Danielle Ernst-West, Doron Puder, Yotam Shomroni

2025-06-02T16:26:00+00:00 ― 5 min read

Algebraic Topology An Introduction to Lie Groups and Algebras

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

Arthur Garnier

2025-06-02T13:48:42+00:00 ― 5 min read

Group Theory Understanding Artin Groups and Their Structure

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

Islam Foniqi

2025-06-02T02:27:04+00:00 ― 5 min read

Probability New Insights into Information and Randomness

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

Jonathan Hermon, Xiangying Huang, Francesco Pedrotti

2025-06-01T20:46:15+00:00 ― 5 min read

Group Theory The Intriguing World of the Klein Bottle

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

Lukas Böke

2025-06-01T20:20:02+00:00 ― 5 min read

Logic Analyzing Countable Ordered Groups: A Computational Perspective

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

Ang Li

2025-05-31T22:55:25+00:00 ― 6 min read

Group Theory Understanding Graphs and Their Transformations

A look into graph theory and its transformations.

Paige Hillen

2025-05-31T08:25:17+00:00 ― 6 min read

Group Theory The Role of Root Group Data Systems in Mathematics

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

Yuan Zhang

2025-05-31T07:42:00+00:00 ― 4 min read

Combinatorics Understanding Coboundary Expansion

Learn about coboundary expansion and its impact on group dynamics.

Tali Kaufman, Izhar Oppenheim, Shmuel Weinberger

2025-05-25T16:04:44+00:00 ― 5 min read

Group Theory Understanding Groups and Their Structures

A look at how groups interact within mathematical frameworks.

Corentin Le Bars, Jean Lécureux, Jeroen Schillewaert

2025-05-25T11:01:45+00:00 ― 8 min read

Group Theory Understanding Algebraic Groups and Their Essential Dimensions

Discover the role of essential dimensions in algebraic groups.

Danny Ofek

2025-05-25T02:22:21+00:00 ― 5 min read

Group Theory Understanding Power Graphs in Mathematics

Exploring relationships in groups through the concept of power graphs.

Marco Barbieri, Kamilla Rekvényi

2025-05-23T10:41:46+00:00 ― 5 min read

Group Theory Understanding Spatial Cube Complexes

A look into the structure and significance of spatial cube complexes.

Adrien Abgrall

2025-05-22T20:59:23+00:00 ― 6 min read

Group Theory The Dynamics of Groups and Subgroups

Explore the unique characteristics and interactions of groups and their subgroups.

Uri Bader, Tsachik Gelander, Arie Levit

2025-05-21T15:24:46+00:00 ― 6 min read

Group Theory Understanding Power Maps in Group Theory

A look into how power maps influence group interactions.

Saikat Panja, Anupam Singh

2025-05-21T14:41:29+00:00 ― 7 min read

Group Theory Mapping Class Groups: A Journey Through Shapes

Learn about Mapping Class Groups and their role in understanding surfaces.

Adam Klukowski

2025-05-21T09:38:30+00:00 ― 6 min read

Representation Theory Understanding Jordan Classes in Mathematics

A clear overview of Jordan classes and their role in algebra.

Filippo Ambrosio

2025-05-20T12:43:17+00:00 ― 4 min read

Group Theory Understanding Inverse Semigroups and Labelled Graphs

A look into the nature of inverse semigroups and their connection to labelled graphs.

Zachary Duah, Stian Du Preez, David Milan

2025-05-19T15:23:00+00:00 ― 4 min read

Group Theory Shapes and Patterns in Everyday Life

Explore the fascinating world of shapes and their patterns.

Claudio Bravo, Auguste Hébert, Diego Izquierdo

2025-05-15T10:30:12+00:00 ― 4 min read

Geometric Topology Understanding Surfaces: Stability and Continuity

A look into the world of surfaces and the concept of automatic continuity.

Mladen Bestvina, George Domat, Kasra Rafi

2025-05-11T12:37:44+00:00 ― 7 min read

Group Theory Understanding 2-Dimensional Shephard Groups

An overview of the structure and properties of 2-dimensional Shephard groups.

Katherine Goldman

2025-05-06T14:56:08+00:00 ― 8 min read

Group Theory Understanding Anosov Representations in Mathematics

A look at the connections between groups, geometry, and Anosov representations.

Max Lahn

2025-05-06T13:32:04+00:00 ― 8 min read

Classical Physics Understanding Non-Local Classical Field Theory

A look into non-local field behavior using fractional operators and analytical techniques.

Abhi Savaliya, Ayush Bidlan

2025-05-06T01:30:08+00:00 ― 7 min read

Group Theory Patterns and Groups in Math Simplified

A fun look at patterns formed by groups in mathematics.

Emilio Parini

2025-05-04T08:17:32+00:00 ― 6 min read

Complex Variables An Insight into Nilpotent Coverings and Holomorphic Convexity

Explore the complex relationship between surfaces, coverings, and holomorphic convexity.

Yuan Liu

2025-05-03T22:29:04+00:00 ― 8 min read

Representation Theory Challenges in Lifting Representations in Algebra

An overview of lifting representations and its complexities in algebra.

Chris Parker, Martin van Beek

2025-05-02T18:27:44+00:00 ― 6 min read

Combinatorics The Intricacies of Steiner Triple Systems

A deep dive into organizing outings through Steiner triple systems and Veblen points.

Galici Mario, Giuseppe Filippone

2025-05-02T15:39:36+00:00 ― 7 min read