Del i serien De Gruyter Expositions in Mathematics

Character Theory of Finite Groups

Inbunden, Engelska, 1998

AvBertram Huppert

4 289 kr

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Produktinformation

Utgivningsdatum1998-08-13
Mått155 x 230 x 43 mm
Vikt1 176 g
FormatInbunden
SpråkEngelska
SerieDe Gruyter Expositions in Mathematics
Antal sidor624
Upplaga98001
FörlagDe Gruyter
ISBN9783110154214

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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).