The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

Notations and results from group theory; representations and representation-modules; simple and semisimple modules; orthogonality relations; the group algebra; characters of abelian groups; degrees of irreducible representations; characters of some small groups; products of representation and characters; on the number of solutions gm =1 in a group; a theorem of A. Hurwitz on multiplicative sums of squares ; permutation representations and characters; the class number; real characters and real representations; Coprime action; groups pa qb; Fronebius groups; induced characters; Brauer's permutation lemma and Glauberman's character correspondence; Clifford theory 1; projective representations; Clifford theory 2; extension of characters; Degree pattern and group structure; monomial groups; representation of wreath products; characters of p-groups; groups with a small number of character degrees; linear groups; the degree graph; groups all of whose character degrees are primes; two special degree problems; lengths of conjugacy classes; R. Brauer's theorem on the character ring; applications of Brauer's theorems; Artin's induction theorem; splitting fields; the Schur index; integral representations; three arithmetical applications; small kernels and faithful irreducible characters; TI-sets; involutions; groups whose Sylow-2-subgroups are generalized quaternion groups; perfect Fronebius complements. (Part contents).