عنوان

Characters of finite groups /

شابک

0821805320 (pt. 2 : acid-free paper)

شابک

082184606X (pt. 1 : acid-free paper)

شابک

9780821805329 (pt. 2 : acid-free paper)

شابک

9780821846063 (pt. 1 : acid-free paper)

شماره

dltt

عنوان اصلي

Characters of finite groups /

نام عام مواد

[Book]

نام نخستين پديدآور

Ya. G. Berkovich, E.M. Zhmudʹ ; [translated by P. Shumyatsky and V. Zobina from the original Russian manuscript ; translation edited by David Louvish].

محل نشرو پخش و غیره

Providence, R.I. :

نام ناشر، پخش کننده و غيره

American Mathematical Society,

تاریخ نشرو بخش و غیره

c1998-1999.

نام خاص و کميت اثر

2 v. ;

ابعاد

26 cm.

عنوان فروست

Translations of mathematical monographs ;

مشخصه جلد

v. 172, 181

متن يادداشت

Includes bibliographical references and indexes.

متن يادداشت

Chapter 14 Degrees and Kernels of Irreducible Characters 1 -- 1. Garrison's Theorems 1 -- 2. Theorems of Blichfeldt and Isaacs-Passman 6 -- 3. Thompson's Theorem on degrees 11 -- 4. Groups with irreducible characters of small degrees 13 -- 5. A [pi]-nilpotency criterion 14 -- 6. Gallagher's Theorem 15 -- 7. Isaacs' Three Character Degrees Theorem 16 -- 8. Solvability of a group G such that cd G is almost a chain 17 -- 9. On intersections of kernels of some characters 20 -- 10. The Chillag-Herzog Theorem 23 -- 11. Isaacs' Theorem 25 -- 12. The degree graph 26 -- 13. On quasikernels of irreducible characters 28 -- 14. A nilpotency criterion 29 -- 15. Minkowski's Theorem 30 -- 16. A [pi]-closure criterion 32 -- 17. Generalizations of M-groups 34 -- Appendix A. On Taketa's Theorem 38 -- Appendix B. On Isaacs' solvability criterion 46 -- Appendix C. An excursion into group theory 50 -- Chapter 15. Involutions 59 -- 1. Groups of even order contain large subgroups 60 -- 2. Groups with two nonconjugate involutions 66 -- 3. Real elements 69 -- 4. Applications to characters 76 -- 5. Bender's method 77 -- 6. Brauer's and Thompson's formulas 82 -- Chapter 16. Connectedness and Zassenhaus Groups 85 -- 1. Veitsblit's Theorem 85 -- 2. Proof of Theorem 1 86 -- 3. On Thompson's question 93 -- 4. Suzuki's Theorems on ZT-groups 94 -- 5. Characterization of Zassenhaus groups 94 -- Chapter 17. The Nagao Theorem 99 -- Chapter 18. Linear Groups 105 -- 1. Linear groups of small degree 105 -- 2. Jordan's Theorem 108 -- Chapter 19. Permutation Characters 113 -- 1. The number of orbits 113 -- 2. The character of the direct product of two actions 114 -- 3. Bell numbers and powers of the natural character 114 -- 4. On characters of m-transitive permutation groups 117 -- 5. On 4-transitive permutation groups 123 -- 6. The character table of S[subscript 5] 124 -- 7. The character table of S[subscript 6] 125 -- 8. The minimal degree of a faithful character of S[subscript n] 127 -- 9. Introduction to Young theory 128 -- Chapter 20. Characters of SL(2, p[superscript n]) 137 -- 1. Classes of G when p is odd 137 -- 2. Character table of G when p is odd 140 -- 3. The case p = 2 143 -- Chapter 21. Zeros of Characters 145 -- 1. General facts 145 -- 2. Groups with x-maximal subgroup. S-characters 154 -- Chapter 22. The Schur Index 165 -- Chapter 23. On Degrees of Irreducible Components of Induced Characters 181 -- Chapter 24. Groups in Which Only Two Nonlinear Irreducible Characters Have Equal Degrees 189 -- 2. Nilpotent D[subscript 1]-groups 190 -- 3. Key lemma 191 -- 4. Metabelian D[subscript 1]-groups 192 -- 5. Proof of the main theorem 195 -- Chapter 25. Groups with Small Sums of Degrees of Some Characters 203 -- 1. Auxiliary results 203 -- 2. The first main theorem 208 -- 3. The second main theorem 209 -- 4. Groups with cyclic Sylow p-subgroups 210 -- Appendix A generalization of Frobenius kernels 214 -- Chapter 26. On Sums of Degrees of Irreducible Characters 219 -- 2. Pairs H < G with [delta subscript 0](G, H) = 1 220 -- 3. Pairs H < G with [delta subscript 0](G, H) = 2 222 -- 4. p-groups 230 -- Chapter 27. Groups Whose Nonlinear Irreducible Characters Take Three Values 233 -- 1. Statement of the main theorem 233 -- 2. Preliminaries 233 -- 3. Proof of the main theorem 236 -- 4. A 4-values analog to Lemma 2 239 -- Chapter 28. Nonsolvable Groups with Many Involutions 243 -- Chapter 29. On Kernels of Nonlinear Irreducible Characters 249 -- Chapter 30. On Monolithic Characters 255 -- 2. Proof of the Main Theorem 257 -- 3. A generalization of CM-groups 261 -- 4. Generalizations of Thompson's and Michler's Theorems 263 -- Appendix A. On Isaacs' Three Character Degrees Theorem 265 -- Appendix B. On Zsigmondy primes 271 -- Chapter 31. The Class Number 277 -- 1. On the class number of a p-group 277 -- 2. Landau's Theorem 278 -- 3. The elements of Irr[subscript 1] (G) are algebraically conjugate 279 -- 4. Groups with two nonlinear irreducible characters 281 -- 5. Groups with three nonlinear irreducible characters 281 -- 6. The minimal number of generators and the class number 285 -- 7. p-groups with few nonlinear irreducible characters 286 -- 8. Isaacs-Passman's Theorems 287 -- 9. Lin(G) acts on Irr[subscript 1](G) transitively 289.

بدون عنوان

0

عنوان قراردادي

TeoriiÍŁa kharakterov.

زبان(وقتي جزئي از عنوان قراردادي باشد)

English

موضوع مستند نشده

Characters of groups.

موضوع مستند نشده

Finite groups.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Berkovich, IÍŁA. G.,1938-

مستند نام اشخاص تاييد نشده

Louvish, David.

مستند نام اشخاص تاييد نشده

Zhmudʣ, E. M.,1918-

تاريخ عمليات

20140218103543.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y