Kooperativer Bibliotheksverbund

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Format: VI, 618 S.

ISBN: 3-11-015421-8

Series Statement: De Gruyter expositions in mathematics 25

Language: German

Subjects: Mathematics

Keywords: Charakter ; Endliche Gruppe

URL: Inhaltsverzeichnis

URL: Inhaltstext

Author information: Huppert, Bertram, 1927-2023.

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Format: 1 online resource (624p.)

ISBN: 9783110809237

Series Statement: De Gruyter Expositions in Mathematics ; 25

Note: Frontmatter -- , Introduction -- , Examples of groups -- , Notations and results from group theory -- , § 1 Representations and representation modules -- , § 2 Simple and semisimple modules -- , § 3 Orthogonality relations -- , § 4 The group algebra -- , § 5 Characters of abelian groups -- , § 6 Degrees of irreducible representations -- , § 7 Characters of some small groups -- , § 8 Products of representations and characters -- , § 9 On the number of solutions of gm = 1 in a group -- , § 10 A theorem of A. Hurwitz on multiplicative sums of squares -- , § 11 Permutation representations and characters -- , § 12 The class number -- , § 13 Real characters and real representations -- , § 14 Coprime action -- , § 15 Groups of order paqb -- , § 16 Frobenius groups -- , § 17 Induced characters -- , § 18 Brauer’s permutation lemma and Glauberman’s character correspondence -- , § 19 Clifford Theory 1 -- , § 20 Projective representations -- , § 21 Clifford Theory 2 -- , § 22 Extensions of characters -- , § 23 Degree pattern and group structure -- , § 24 Monomial groups -- , § 25 Representations of wreath products -- , § 26 Characters of p-groups -- , § 27 Groups with a small number of character degrees -- , § 28 Linear groups -- , § 29 Finite subgroups of SO(3, ℝ) and SU(2, ℂ) -- , § 30 The degree graph -- , § 31 Groups all of whose character degrees are primes -- , § 32 Two special degree problems -- , § 33 Lengths of conjugacy classes -- , § 34 R. Brauer’s theorems on the character ring -- , § 35 Applications of Brauer’s theorems -- , § 36 Artin’s induction theorem -- , § 37 Splitting fields -- , § 38 The Schur index -- , § 39 Integral representations -- , § 40 Isaacs π-special characters -- , § 41 Three arithmetical applications -- , § 42 Small kernels and faithful irreducible characters -- , § 43 TI-sets -- , § 44 Involutions -- , § 45 Groups whose Sylow-2-subgroups are generalized quaternion groups -- , § 46 Perfect Frobenius complements -- , Books -- , Bibliography -- , Index of names -- , Index of subjects , In English.

Additional Edition: ISBN 978-3-11-015421-4

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110809237

URL: https://doi.org/10.1515/9783110809237

URL: https://doi.org/10.1515/9783110809237

URL: https://www.degruyter.com/isbn/9783110809237

URL: Cover

UID:

Format: 1 online resource (624p.)

ISBN: 9783110809237

Series Statement: De Gruyter Expositions in Mathematics ; 25

Note: Frontmatter -- , Introduction -- , Examples of groups -- , Notations and results from group theory -- , § 1 Representations and representation modules -- , § 2 Simple and semisimple modules -- , § 3 Orthogonality relations -- , § 4 The group algebra -- , § 5 Characters of abelian groups -- , § 6 Degrees of irreducible representations -- , § 7 Characters of some small groups -- , § 8 Products of representations and characters -- , § 9 On the number of solutions of gm = 1 in a group -- , § 10 A theorem of A. Hurwitz on multiplicative sums of squares -- , § 11 Permutation representations and characters -- , § 12 The class number -- , § 13 Real characters and real representations -- , § 14 Coprime action -- , § 15 Groups of order paqb -- , § 16 Frobenius groups -- , § 17 Induced characters -- , § 18 Brauer’s permutation lemma and Glauberman’s character correspondence -- , § 19 Clifford Theory 1 -- , § 20 Projective representations -- , § 21 Clifford Theory 2 -- , § 22 Extensions of characters -- , § 23 Degree pattern and group structure -- , § 24 Monomial groups -- , § 25 Representations of wreath products -- , § 26 Characters of p-groups -- , § 27 Groups with a small number of character degrees -- , § 28 Linear groups -- , § 29 Finite subgroups of SO(3, ℝ) and SU(2, ℂ) -- , § 30 The degree graph -- , § 31 Groups all of whose character degrees are primes -- , § 32 Two special degree problems -- , § 33 Lengths of conjugacy classes -- , § 34 R. Brauer’s theorems on the character ring -- , § 35 Applications of Brauer’s theorems -- , § 36 Artin’s induction theorem -- , § 37 Splitting fields -- , § 38 The Schur index -- , § 39 Integral representations -- , § 40 Isaacs π-special characters -- , § 41 Three arithmetical applications -- , § 42 Small kernels and faithful irreducible characters -- , § 43 TI-sets -- , § 44 Involutions -- , § 45 Groups whose Sylow-2-subgroups are generalized quaternion groups -- , § 46 Perfect Frobenius complements -- , Books -- , Bibliography -- , Index of names -- , Index of subjects , In English.

Additional Edition: ISBN 978-3-11-015421-4

Language: English

DOI: 10.1515/9783110809237

URL: https://doi.org/10.1515/9783110809237

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Format: Online-Ressource (624 p)

Edition: Online-Ausg. 2011 Electronic reproduction; Available via World Wide Web

ISBN: 9783110154214

Series Statement: De Gruyter Expositions in Mathematics v.25

Note: Description based upon print version of record , 14 Coprime action 15 Groups of order paqb; 16 Frobenius groups; 17 Induced characters; 18 Brauer's permutation lemma and Glauberman's character correspondence; 19 Clifford Theory 1; 20 Projective representations; 21 Clifford Theory 2; 22 Extensions of characters; 23 Degree pattern and group structure; 24 Monomial groups; 25 Representations of wreath products; 26 Characters of p-groups; 27 Groups with a small number of character degrees; 28 Linear groups; 29 Finite subgroups of SO(3, R) and SU(2, C); 30 The degree graph; 31 Groups all of whose character degrees are primes. , 32 Two special degree problems 33 Lengths of conjugacy classes; 34 R. Brauer's theorems on the character ring; 35 Applications of Brauer's theorems; 36 Artin's induction theorem; 37 Splitting fields; 38 The Schur index; 39 Integral representations; 40 Isaacs p-special characters; 41 Three arithmetical applications; 42 Small kernels and faithful irreducible characters; 43 TI-sets; 44 Involutions; 45 Groups whose Sylow-2-subgroups are generalized quaternion groups; 46 Perfect Frobenius complements; Books; Bibliography; Index of names; Index of subjects;. , Introduction; Examples of groups; Notations and results from group theory; 1 Representations and representation modules; 2 Simple and semisimple modules; 3 Orthogonality relations; 4 The group algebra; 5 Characters of abelian groups; 6 Degrees of irreducible representations; 7 Characters of some small groups; 8 Products of representations and characters; 9 On the number of solutions of gm = 1 in a group; 10 A theorem of A. Hurwitz on multiplicative sums of squares; 11 Permutation representations and characters; 12 The class number; 13 Real characters and real representations.

Additional Edition: ISBN 9783110809237

Language: English

Keywords: Electronic books

DOI: 10.1515/9783110809237

URL: http://www.degruyter.com/doi/book/10.1515/9783110809237

URL: Cover