\beginexercise[4.1.1] Let $G$ be a group and let $X$ be a set. Define a group action. \endexercise
\sectionGroup Actions and Permutation Representations
% Continue for each exercise \enddocument
\beginsolution A group action is a map $G \times X \to X$, denoted $(g,x) \mapsto g \cdot x$, satisfying... \endsolution
\beginexercise[4.1.1] Let $G$ be a group and let $X$ be a set. Define a group action. \endexercise
\sectionGroup Actions and Permutation Representations dummit+and+foote+solutions+chapter+4+overleaf+full
% Continue for each exercise \enddocument \beginexercise[4
\beginsolution A group action is a map $G \times X \to X$, denoted $(g,x) \mapsto g \cdot x$, satisfying... \endsolution x) \mapsto g \cdot x$