Mathematics - Group Theory

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Group Theory Challenges in the Ideal Membership Problem

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

Wenhao Wang

2025-06-26T19:23:05+00:00 ― 5 min read

Latest Articles

Cryptography and Security Secure Symmetric Encryption: The SEBQ Scheme

The SEBQ scheme offers advanced security in symmetric encryption using quasigroups.

Satish Kumar, Harshdeep Singh, Indivar Gupta

2025-06-23T21:54:38+00:00 ― 6 min read

Group Theory Understanding Subfactors and Projections in Group Theory

Learn about subfactors and how they relate within group theory.

Kishan Dayaram, Amartya Goswami, Zurab Janelidze

2025-06-23T01:48:40+00:00 ― 4 min read

Group Theory Understanding Hyperbolic Groups and Their Representations

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

Kevin Boucher, Ján Špakula

2025-06-22T21:26:30+00:00 ― 5 min read

Group Theory Connections Between Finite Groups and Symmetric Groups

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

Alexei Entin, Cindy Tsang

2025-06-22T09:38:39+00:00 ― 5 min read

Group Theory The Foundations of Finite Simple Groups

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

Nick Gill, Noam Lifshitz, László Pyber

2025-06-21T20:58:22+00:00 ― 3 min read

Group Theory Girth Properties in Group Actions on CAT(0) Cubes

Exploring girth in groups acting on CAT(0) cube complexes.

Arka Banerjee, Daniel Gulbrandsen, Pratyush Mishra

2025-06-20T10:53:28+00:00 ― 4 min read

Functional Analysis Multipliers in Locally Compact Groups

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

Bat-Od Battseren

2025-06-20T07:49:57+00:00 ― 5 min read

Group Theory A Closer Look at the Liebeck-Nikolov-Shalev Conjecture

Exploring the significance of finite simple groups in mathematics.

Noam Lifshitz

2025-06-19T20:28:19+00:00 ― 4 min read

Group Theory The Intersection of Groups and Planar Graphs

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

Joseph MacManus

2025-06-19T06:55:36+00:00 ― 5 min read

Group Theory Understanding Soficity in Group Theory

A look at soficity and its role in group theory.

David Gao, Srivatsav Kunnawalkam Elayavalli, Mahan Mj

2025-06-18T20:52:37+00:00 ― 5 min read

Group Theory Banach Metrics: A New Approach to Group Theory

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

Liran Ron-George, Ariel Yadin

2025-06-18T19:07:45+00:00 ― 5 min read

Group Theory Artin Groups: Structures in Group Theory

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

Bruno Aaron Cisneros de la Cruz, María Cumplido, Islam Foniqi

2025-06-18T06:53:41+00:00 ― 4 min read

Group Theory An Overview of Special Unitary Groups in Physics

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

Arsen Khvedelidze, Dimitar Mladenov, Astghik Torosyan

2025-06-18T06:23:09+00:00 ― 5 min read

Group Theory Visualizing Relationships in Order-Divisor Graphs

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

Shafiq ur Rehman, Raheela Tahir, Farhat Noor

2025-06-16T17:45:16+00:00 ― 5 min read

Group Theory Understanding Sofic Actions on Graphs

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

David Gao, Greg Patchell, Srivatsav Kunnawalkam Elayavalli

2025-06-16T10:19:35+00:00 ― 5 min read

Algebraic Geometry Efficient Computation of Theta Functions in Non-Archimedean Groups

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

Marc Masdeu, Xavier Xarles

2025-06-16T04:12:33+00:00 ― 5 min read

Machine Learning Using Reinforcement Learning to Explore the Andrews-Curtis Conjecture

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

Ali Shehper, Anibal M. Medina-Mardones, Bartłomiej Lewandowski

2025-06-16T01:35:15+00:00 ― 7 min read

Group Theory Unraveling Nilpotent Injectors and Carter Subgroups

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

Stefanos Aivazidis, Maria Loukaki, John Shareshian

2025-06-15T15:06:03+00:00 ― 3 min read

Group Theory Examining Stability in Lie Algebras and Groups

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

Benjamin Bachner

2025-06-15T14:39:50+00:00 ― 5 min read

Optimization and Control Optimizing Satellite Operations for Earth Observation

A new method improves satellite coordination for efficient Earth observation.

Vincenzo Basco

2025-06-14T12:26:50+00:00 ― 5 min read

Dynamical Systems Understanding van der Corput Sets in Amenable Groups

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

Sohail Farhangi, Robin Tucker-Drob

2025-06-14T01:31:25+00:00 ― 5 min read

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

Probability The Impact of Random Unitary Matrices

Examining random unitary matrices and their implications in representation theory.

Michael Magee, Mikael de la Salle

2025-06-11T16:17:02+00:00 ― 5 min read

Group Theory Understanding Hierarchical Hyperbolic Groups

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

Giorgio Mangioni

2025-06-11T15:24:36+00:00 ― 4 min read

Group Theory Understanding Derangements in Transitive Groups

Explore derangements' role in permutation groups and their implications.

Daniele Garzoni

2025-06-11T11:02:26+00:00 ― 4 min read

Group Theory An Overview of Thin Heckoid Groups

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

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert

2025-06-11T01:25:40+00:00 ― 4 min read

Representation Theory Rigidity of Simple Modules in Algebraic Groups

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

Michael Bate, David I. Stewart

2025-06-10T07:30:47+00:00 ― 4 min read

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