Combinatorial group theory

free object in the category of groups; a group admitting a presentation without any relations

specification of a mathematical group by generators and relaions

mathematical problem in group theory

Austrian mathematician (1901–1929)

theory of free groups, and the concept of a presentation of a group by generators and relations.

disproved conjecture in group theory

written product of elements of a mathematical group and their inverses

polygon associated with a compact Riemann surface

class of two-generator one-relator groups