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Representation theory of finite groups and related topics. [electronic resource] [Edited by Irving Reiner]

By: Symposium in Pure Mathematics University of Wisconsin, April 14-16, 1970Contributor(s): Reiner, Irving [ed.] | American Mathematical SocietyMaterial type: Text

TextSeries: Proceedings of symposia in pure mathematics ; v. 21Publication details: Providence, American Mathematical Society, 1971Description: 1 online resource (178 p.)ISBN: 9780821893074 (online)Subject(s): Finite groups -- Congresses | Representations of groups -- CongressesAdditional physical formats: Representation theory of finite groups and related topics.DDC classification: 512/.2 LOC classification: QA171 | .S915 1970Online resources: Contents | Contents

Contents:

On the degrees and rationality of certain characters of finite Chevalley groups / C. T. Benson and C. W. Curtis -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0316537 Types of blocks of representations of finite groups / Richard Brauer -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0322042 Modular representations of some finite groups / N. Burgoyne -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0342619 Some connections between Clifford theory and the theory of vertices and sources / Edward Cline -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0314958 Finite groups admitting almost fixed-point-free automorphisms / Michael J. Collins -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0314977 Some remarks on the Krull-Schmidt theorem / S. B. Conlon -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0323834 A Clifford theory for blocks / E. C. Dade -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0325747 Jordan's theorem for solvable groups / Larry Dornhoff -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0320137 Operations in representation rings / Andreas Dress -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0325740 Some decomposable Sylow $2$-subgroups and a nonsimplicity condition / Paul Fong -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0314970 Characters and orthogonality in Frobenius algebras / T. V. Fossum -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0314891 The number of conjugacy classes in a finite group / P. X. Gallagher -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0314955 Sylow $2$-subgroups with non-elementary centers / David M. Goldschmidt -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0322045 Axiomatic representation theory / J. A. Green -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/9957 Real representations of split metacyclic groups / Larry C. Grove -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0318283 On some doubly transitive groups / Koichiro Harada -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0316534 Characterization of rank $3$ permutation groups by the subdegrees / D. G. Higman -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0320123 Symplectic action and the Schur index / I. M. Isaacs -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0318284 On factorizable groups / Noboru Ito -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0316548 Lattices over orders / H. Jacobinski -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0318205 Faithful representations of $p$ groups at characteristic $p$ / G. J. Janusz -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0387396 The reflection character of a finite group with a $(B,\,N)$\ pair / Robert Kilmoyer -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0322039 A characterization of the alternating groups / Takeshi Kondo -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0322023 Character tables and the Schur index / Karl Kronstein -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0320128 Restriction of representations over fields of characteristic $p$ / T. Y. Lam, I. Reiner and D. Wigner -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0325750 On the Suzuki and Conway groups / J. H. Lindsey II -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/9956 Matrix questions and the Brauer-Thrall conjecture on algebras with an infinite number of indecomposable representations / L. A. Nazarova and A. V. Ro�iter -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/9955 Group rings of infinite groups / D. S. Passman -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/9954 Characters of finite groups and sets of primes / William F. Reynolds -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0322044 Bass-order and the number of nonisomorphic indecomosable lattices over orders / Klaus W. Roggenkamp -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/9953 The modular theory of permutation representations / L. Scott -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0320133 On the affine group over a finite field / Louis Solomon -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0318287 Generalization of Green's polynomials / T. A. Springer -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/9952 A splitting principle in algebraic $K$-theory / Richard G. Swan -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0316532 Classification of simple groups of order $p \cdot 3^a \cdot 2^b$, $p$ a prime / David Wales -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0320136 Direct summands in representation algebras / W. D. Wallis -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/9951 Representations of Chevalley groups in characteristic $p$ / W. J. Wong -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0316586 Nilpotent elements in representation rings / Janice Rose Zemanek -- http://www.ams.org/pspum/021 http://dx.doi.org/10.1090/pspum/021/0316536

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
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Includes bibliographies.

On the degrees and rationality of certain characters of finite Chevalley groups / C. T. Benson and C. W. Curtis -- Types of blocks of representations of finite groups / Richard Brauer -- Modular representations of some finite groups / N. Burgoyne -- Some connections between Clifford theory and the theory of vertices and sources / Edward Cline -- Finite groups admitting almost fixed-point-free automorphisms / Michael J. Collins -- Some remarks on the Krull-Schmidt theorem / S. B. Conlon -- A Clifford theory for blocks / E. C. Dade -- Jordan's theorem for solvable groups / Larry Dornhoff -- Operations in representation rings / Andreas Dress -- Some decomposable Sylow $2$-subgroups and a nonsimplicity condition / Paul Fong -- Characters and orthogonality in Frobenius algebras / T. V. Fossum -- The number of conjugacy classes in a finite group / P. X. Gallagher -- Sylow $2$-subgroups with non-elementary centers / David M. Goldschmidt -- Axiomatic representation theory / J. A. Green -- Real representations of split metacyclic groups / Larry C. Grove -- On some doubly transitive groups / Koichiro Harada -- Characterization of rank $3$ permutation groups by the subdegrees / D. G. Higman -- Symplectic action and the Schur index / I. M. Isaacs -- On factorizable groups / Noboru Ito -- Lattices over orders / H. Jacobinski -- Faithful representations of $p$ groups at characteristic $p$ / G. J. Janusz -- The reflection character of a finite group with a $(B,\,N)$\ pair / Robert Kilmoyer -- A characterization of the alternating groups / Takeshi Kondo -- Character tables and the Schur index / Karl Kronstein -- Restriction of representations over fields of characteristic $p$ / T. Y. Lam, I. Reiner and D. Wigner -- On the Suzuki and Conway groups / J. H. Lindsey II -- Matrix questions and the Brauer-Thrall conjecture on algebras with an infinite number of indecomposable representations / L. A. Nazarova and A. V. Ro�iter -- Group rings of infinite groups / D. S. Passman -- Characters of finite groups and sets of primes / William F. Reynolds -- Bass-order and the number of nonisomorphic indecomosable lattices over orders / Klaus W. Roggenkamp -- The modular theory of permutation representations / L. Scott -- On the affine group over a finite field / Louis Solomon -- Generalization of Green's polynomials / T. A. Springer -- A splitting principle in algebraic $K$-theory / Richard G. Swan -- Classification of simple groups of order $p \cdot 3^a \cdot 2^b$, $p$ a prime / David Wales -- Direct summands in representation algebras / W. D. Wallis -- Representations of Chevalley groups in characteristic $p$ / W. J. Wong -- Nilpotent elements in representation rings / Janice Rose Zemanek --