**Proceedings of Symposia in Pure Mathematics**

Volume: 47;
1987;
552 pp;
Hardcover

MSC: Primary 20;

Print ISBN: 978-0-8218-1478-9

Product Code: PSPUM/47.2

List Price: $105.00

AMS Member Price: $84.00

MAA member Price: $94.50

**Electronic ISBN: 978-0-8218-9342-5
Product Code: PSPUM/47.2.E**

List Price: $105.00

AMS Member Price: $84.00

MAA member Price: $94.50

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# The Arcata Conference on Representations of Finite Groups, Part 2

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*Paul Fong*

# Table of Contents

## The Arcata Conference on Representations of Finite Groups, Part 2

- Table of Contents iii4
- Part II i2 free
- III. Characters and Representations 110 free
- On products of conjugacy classes and irreducible characters in finite groups 312
- On products of irreducible characters and conjugacy classes of finite groups in complementary sets 1120
- Monomial representations and generalizations 2534
- Characters, nonnegative matrices, and generalized circulants 3342
- Character restriction and the existence of relative normal complements in finite groups 4150
- Primes dividing character degrees and character orbit sizes 4554
- Degree problems over Q 4756
- Characters and Hall subgroups of solvable groups 5160
- On the Brauer-Suzuki theorem 5766
- Arithmetical conditions on character degrees and group structure 6574
- Noncommutators and the number of projective characters of a finite group 7180
- Clifford theory of simple modules 7584
- Fully ramified characters 8392
- Character degrees of finite p-groups 8998
- The Schur indices of quasiprimitive characters 93102

- IV. Finite Groups of Lie Type 97106
- Twisting operators on the space of class functions of finite special linear groups 99108
- Simulating algebraic geometry with algebra, III: The Lusztig conjecture as a TG[sub(1)]-problem 149158
- Composition factors of induced modules for algebraic groups and their Frobenius subgroups 163172
- A Hopf algebra associated to the cohomology of the symmetric groups 171180
- Cohomology of irreducible modules with large weights 187196
- On the generic cohomology 195204
- On the symmetry of inverse Kazhdan-Lusztig polynomials for affine Weyl groups 201210
- Some representations of special linear groups 207216
- On hyperoctahedral hyperplane complements 219228
- Leading coefficients of character values of Hecke algebras 235244
- Simulating algebraic geometry with algebra, II: Stratifying representation categories 263272
- Simulating algebraic geometry with algebra, I: The algebraic theory of derived categories 271280
- Blocks and Brauer trees for groups of type G[sub(2)](q) 283292
- Shintani descent for exceptional groups over a finite field 297306
- Geometrical Gel'fand models, tensor quotients, and Weil representations 305314
- The values of irreducible characters of the symmetric group 317326
- The characters of G[sub(2)](2[sup(n)]) and its subgroups 321330

- V. Related topics 325334
- On the representations of the Weyl groups of type D corresponding to the zero weights of the representations of SO(2n, C) 327336
- The study of distance-regular graphs from the algebraic (i.e., character theoretical) viewpoint 343352
- Raising and lowering operators for sl[sub(n)], with applications to orthogonal bases of sl[sub(n)]-modules 351360
- On finite simple subgroups of the complex Lie group of type E[sub(8)] 367376
- Symmetric powers of cyclic sets and the definition of A. Weil's zeta-functions 407416
- The geometry of homogeneous extension categories 413422
- On self-normalizing cyclic subgroups 419428
- On the order of a projective plane and planes with a totally irregular collineation group 423432
- Permanents, immanants, and determinants 431440
- Young-diagrammatic methods for the representation theory of the groups Sp and SO 437446
- On maximal subgroups and maximal factorizations of almost simple groups 449458
- The local maximal subgroups of the finite simple groups 455464
- On the generalized exponents of classical Lie groups 463472
- Automorphisms and isomorphisms of linear groups over skew fields 473482
- Picard groups of integral group rings of nilpotent groups 477486
- Maximal subgroups in classical groups over arbitrary fields 487496
- Applications of explicit Brauer induction 495504
- A characterization of PSU(3, 4) 533542
- Highest weight vectors associated to some branchings 541550
- Eigenvalues connected to the radical of Brauer's centralizer algebras 547556