Resources
Books
[Pinter 1982] “A Book of Abstract Algebra”, Pinter, C.C., 1982, McGraw-Hill.
[Sawyer 1978] “A Concrete Approach to Abstract Algebra”, Sawyer, W.W., 1978, Dover Publications.
[Carter 2009] “Visual Group Theory”, Carter, N.C., 2009, Mathematical Association of America
Papers
Groupoids and Smarandache Groupoids by W. B. Vasantha Kandasamy
Websites
Group Explorer – Visualization software for the abstract algebra classroom
GroupNames – “A database, under construction, of names, extensions, properties and character tables of finite groups of small order.”
GAP – “Groups, Algorithms, Programming - a System for Computational Discrete Algebra”
Groups of small order: Compiled by John Pedersen, Dept of Mathematics, University of South Florida
List of small groups: Finite groups of small order up to group isomorphism
Klein four-group, V4
Cyclic group
Symmetric group
Symmetric group on 3 letters. Another name for this group is “Dihedral group on 3 vertices”
“Rings and Fields”, John O’Connor & Edmund Robertson, School of Math. & Stat., Univ. of St Andrews, Scotland
SACK A simple abstract-algebra calculator. Includes some elementary group routines.