Latest Articles for Group Theory

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 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

Representation Theory Understanding Exceptional Groups and Their Significance

A look at exceptional groups and their role in mathematics.

Marcela Hanzer, Gordan Savin

2025-05-28T06:07:06+00:00 ― 6 min read

Classical Analysis and ODEs Tiling and Spectral Sets: A Mathematical Insight

Explore the relationships between tiles, groups, and spectral sets in mathematics.

Shilei Fan, Mamateli Kadir, Peishan Li

2025-05-27T10:38:27+00:00 ― 7 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 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

Number Theory A Fun Take on Zariski Density and Groups

Explore the lively interactions between mathematical groups and their representations.

Jake Huryn, Yifei Zhang

2025-05-20T20:39:24+00:00 ― 5 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

Logic Merging Smooth Classes in Mathematics

Exploring the combination of smooth classes and their implications in mathematics.

Morgan Bryant

2025-05-15T20:18:40+00:00 ― 6 min read

Algebraic Topology An Introduction to Coloured Partition Algebras

Learn how colored partition algebras group items in unique ways.

James Cranch, Daniel Graves

2025-05-13T03:51:36+00:00 ― 5 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

Representation Theory Understanding Group Recovery Through Orbits

Exploring the relationship between orbits and group identification in mathematics.

Dustin G. Mixon, Brantley Vose

2025-04-29T14:48:08+00:00 ― 7 min read

Group Theory Groups and Graphs: A Deep Connection

Discover the links between group theory and graph structures.

Eoghan Farrell, Chris Parker

2025-04-23T03:40:42+00:00 ― 7 min read

Group Theory Unpacking Biautomaticity in Group Theory

Discover the intriguing world of biautomaticity in geometry and group dynamics.

Mateusz Kandybo

2025-04-09T20:36:20+00:00 ― 5 min read

Rings and Algebras Understanding the Length of Algebras

Explore the significance and complexity of algebra lengths in mathematics.

M. A. Khrystik

2025-03-27T04:56:50+00:00 ― 7 min read

Operator Algebras The Intriguing World of Group Algebras

Discover how group algebras help compare mathematical structures with strict comparison.

Tattwamasi Amrutam, David Gao, Srivatsav Kunnawalkam Elayavalli

2025-03-26T20:57:20+00:00 ― 5 min read

Group Theory Unraveling Triangle Artin Groups: A Guide

Discover the fascinating world of Triangle Artin groups and their structures.

Greyson Meyer

2025-03-24T13:00:50+00:00 ― 6 min read

Operator Algebras Understanding the Rapid Decay Property in Groups

Explore how rapid decay properties influence group behavior in mathematics.

Indira Chatterji, Benjamin Zarka

2025-03-21T13:05:20+00:00 ― 6 min read

Group Theory Dancing with Symmetry: Groups and Trees

Discover the fascinating relationship between groups and tree structures in mathematics.

Martín Gilabert Vio

2025-03-16T23:52:10+00:00 ― 7 min read

Group Theory The Exciting World of Random Dynamical Systems

Discover how randomness shapes group behavior over time.

Martín Gilabert Vio

2025-03-16T21:12:20+00:00 ― 8 min read

Group Theory Understanding Right-Angled Artin Groups

A look into the fascinating world of RAAGs and their properties.

Camille Horbez, Jingyin Huang

2025-03-16T13:12:50+00:00 ― 6 min read

Representation Theory The Dance of Groups and Representations

Exploring the interplay between groups and their representations in mathematics.

Nariel Monteiro, Alexander Stasinski

2025-03-16T07:53:10+00:00 ― 5 min read

Combinatorics The Quest for Hamiltonian Paths in Graphs

Dive into the fascinating world of Hamiltonian paths and cycles in graph theory.

Florian Lehner, Farzad Maghsoudi, Babak Miraftab

2025-03-14T13:15:50+00:00 ― 5 min read

Combinatorics Unlocking the Secrets of Symmetric Designs

Discover the fascinating world of symmetric designs and their higher-dimensional counterparts.

Vedran Krčadinac, Mario Osvin Pavčević

2025-03-11T13:20:20+00:00 ― 5 min read

Group Theory Unpacking the World of Virtual RAAGs

Discover the fascinating realm of virtual right-angled Artin groups and their complexities.

Gemma Crowe

2025-03-09T08:03:40+00:00 ― 6 min read

Combinatorics The Intriguing World of Finite Groups

Discover how small doubling sets affect Fourier coefficients in mathematics.

Ilya D. Shkredov

2025-03-05T10:49:30+00:00 ― 5 min read

Group Theory The Growth of Mathematical Groups: A Family Affair

Explore how groups expand differently, revealing their unique structures and behaviors.

Suzhen Han, Qing Liu

2025-03-04T10:51:00+00:00 ― 6 min read

Logic The Importance of Regularity Lemmas in Mathematics

Discover how regularity lemmas simplify complex structures in mathematics.

Anand Pillay, Atticus Stonestrom

2025-03-04T05:31:20+00:00 ― 6 min read

Symplectic Geometry The Dance of Geometry: Hamiltonian Manifolds and Cohomology

Unraveling the relationship between shapes and group actions in mathematics.

Tara S. Holm, Liat Kessler, Susan Tolman

2025-02-23T03:05:00+00:00 ― 8 min read

Operator Algebras Unraveling the Secrets of Entropy in Groups

Dive into the fascinating world of entropy and its role in group theory.

Tim Austin

2025-02-21T19:07:00+00:00 ― 7 min read

Group Theory Unveiling the Secrets of Just Infinite Groups

Dive into the fascinating world of just infinite groups and their unique properties.

Andrei Jaikin-Zapirain, Steffen Kionke

2025-02-17T00:34:10+00:00 ― 5 min read

Group Theory The Fascinating World of Group Theory

Explore the connections between groups, chain complexes, and their properties.

Marco Linton

2025-02-08T16:46:40+00:00 ― 7 min read

Representation Theory The Fascinating World of Metaplectic Groups

Dive into the complexities of metaplectic groups and their dualizing involutions.

Kumar Balasubramanian, Sanjeev Kumar Pandey, Renu Joshi

2025-02-05T06:11:50+00:00 ― 7 min read

Number Theory The Fascinating World of Finite Abelian Groups

Discover the intriguing properties and applications of finite abelian groups and their subrings.

Gautam Chinta, Kelly Isham, Nathan Kaplan

2025-02-03T00:55:10+00:00 ― 6 min read

Representation Theory Connecting Tempiric Representations and Operator K-Theory

Explore the connections between tempiric representations and operator K-theory in mathematics.

Jacob Bradd, Nigel Higson, Robert Yuncken

2025-01-31T00:59:40+00:00 ― 6 min read