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

• Classification of Groups of Order n ≤ 8 (PDF)

• Groupoids and Smarandache Groupoids by W. B. Vasantha Kandasamy

Websites

• Group Explorer – Visualization software for the abstract algebra classroom

• Groupprops, The Group Properties Wiki (beta)

• 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

  • Wikipedia

  • Group Explorer

• Cyclic group

  • Wikipedia

  • Z4, cyclic group of order 4

• 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.

Miscellaneous

• “3 Ways to Add Images to Your Jupyter Notebook”