11. Both depth, breadth and also the impact of group theory subsequently grew. 12. Group theory is the branch of mathematics that studies the concept of symmetry.13. Coudrain and Sch�tzenberger mainly studied these sesquipowers for group theory applications. 14. The idempotent and zero-divisor conjectures have implications for geometric group theory . 15. Thus, there is an interplay between group theory and topological methods. 16. The textbooks of Weber and Burnside helped establish group theory as a discipline. 17. Bases and strong generating sets are concepts of importance in computational group theory . 18. British constructionist artist John Ernest created reliefs and paintings inspired by group theory . 19. Wigner and Hermann Weyl were responsible for introducing group theory into quantum mechanics. 20. If forced, one might categorize them into social and group theories .