GAP Days 2025 – Latin Squares & Group Theory

Welcome to the repository for "Latin Squares Meet Group Theory: Tools and Insights in GAP", a talk presented by Seyyed Ali Mohammadiyeh at GAP Days 2025.

This talk explores the deep mathematical relationship between Latin squares and group theory, particularly through the lens of the GAP system and the LatinSquare GAP package.

📄 Contents

• gap-days-2025.pdf: The final PDF version of the presentation slides.
• gap-days-2025.tex: LaTeX source code for the presentation.
• img*.{png,jpg,jpeg,webp}: Supporting images and illustrations used in the slides.

🧠 Talk Overview

The presentation covers:

• What Latin squares are and how they're defined
• Historical context, including contributions from Euler and Choi Seok-jeong
• Real-world applications in statistics, cryptography, and puzzles
• How Latin squares relate to quasigroups and group theory
• Insights into the structure and use of the LatinSquare package for GAP

🧑‍🏫 About the Presenter

Seyyed Ali Mohammadiyeh

Department of Pure Mathematics, Faculty of Mathematical Sciences

University of Kashan, Iran

📧 alim@kashanu.ac.ir / max@std.kashanu.ac.ir

🛠 Build Instructions

To compile the slides:

pdflatex -synctex=1 -interaction=nonstopmode -shell-escape gap-days-2025.tex

Make sure you have a LaTeX distribution (e.g., TeX Live or MiKTeX) with beamer and required packages installed.

📜 License

This work is licensed under the MIT License.

Made with ❤️ by @BaseMax for GAP Days 2025.