# Can the concepts of abstract algebra be visualized as in analysis?

I like to visualize everything I study but yet I have found pretty nothing to visualize in abstract algebra.I have studied group theory upto subgroups Cyclic groups and Cosets and Lagrange's theorem.Is there any way of visualizing these things?Please suggest some good reference book/text also which discusses these things and also the motivation/idea behind different theorems and concepts.

• Group theory can be visualized as groups of symmetries. – Michael Burr Jun 6 at 13:14
• – lhf Jun 6 at 13:38
• Cayley graphs provide a way to visualize groups. There is a textbook called Visual Group Theory that gives visual interpretations for many group theoretic properties. – André 3000 Jun 6 at 13:41
• I seem to recall a book by Fraleigh (First Course on Abstract Algebra) which had some visuals to go with quotient groups/cosets. Also simply the vertices of a regular $n-gon$ are a starting point for visualising subgroups of the finite cyclic groups. – Mark Bennet Jun 6 at 18:07
• There is a reason it called "abstract algebra" but there is ofcourse there are some ways to visualize it (if not all). But I am not sure if you have that enough background yet or not? – Anubhav Mukherjee Jun 6 at 21:55