The Algebra Behind Card Shuffling
Publication Date
Spring 4-16-2025
Presentation Length
15 minutes
College
College of Sciences & Mathematics
Department
Math and Computer Science, Department of
Student Level
Undergraduate
SPARK Category
Scholarship
Faculty Advisor
Brad Schleben
WELL Core Type
Intellectual Wellness
SPARK Session
Explorations in Algebra
Presentation Type
Talk/Oral
Summary
Card shuffling is a seemingly simple process with deep mathematical implications. This presentation explores the algebraic structures behind shuffling, particularly through group theory and permutations. We investigate how shuffling techniques can be represented as elements of a symmetric group, analyze the order of specific shuffles, and discuss the mathematical principles behind randomness and mixing.
Recommended Citation
Cummings, Hailey and Volpe, Adrian, "The Algebra Behind Card Shuffling" (2025). SPARK Symposium Presentations. 178.
https://repository.belmont.edu/spark_presentations/178
