Proceedings of the Conference on Finite Groups /

This volume consists of the papers presented at a conference on finite groups which took place in Park City, Utah on February 10-13, 1975. The subjects discussed at the conference were in one of the five main areas of finite group theory, including characterizing simple groups, representations of si...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: Conference on Finite Groups Park City, Utah
Other Authors: Scott, William R. (William Raymond), 1919- (Editor), Gross, Fletcher (Editor)
Format: Electronic Conference Proceeding eBook
Language:Inglés
Published: New York : Academic Press, Inc., [1976]
Subjects:
Finite groups > Congresses.
Permutation groups > Congresses.
Chevalley groups > Congresses.
Lie groups > Congresses.
Frobenius groups > Congresses.
Sylow subgroups > Congresses.
Groupes finis > Congr�es.
Groupes de permutations > Congr�es.
Groupes de Chevalley > Congr�es.
Groupes de Lie > Congr�es.
Groupes de Frobenius > Congr�es.
Sous-groupes de Sylow > Congr�es.
MATHEMATICS > Algebra > Intermediate.
Sylow subgroups
Permutation groups
Lie groups
Frobenius groups
Chevalley groups
Finite groups
Teoria dos grupos.
Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congr�es.
Online Access:Texto completo
Table of Contents:
  • Part I. Local structure ; A characterization of certain Chevalley groups and its application to component type groups / Michael Aschbacher
  • Finite groups of alternating type / Ronald Solomon
  • Finite groups of 2-local 3-rank at most 1 / Daniel Gorenstein and Richard Lyons
  • Finite simple groups of characteristic 2,3 type / Geoffrey Mason
  • 3-structure in finite simple groups / Michael J. Collins
  • Finite groups of PSL(2,q)-type / Morton E. Harris
  • Some characterizations by centralizers of elements of order three / Michael E. O'Nan
  • A characterization of PSp₄(3[lowercase superscript]m) by the centralizer of an element of order three / John L. Hayden
  • Characterization of ³D₄(q³), q = 2[lowercase superscript]n by its Sylow 2-subgroup / Anthony Hughes
  • Signalizer functors / George Glauberman
  • Strongly closed 2-subgroups of finite groups / David Goldschmidt
  • Part II. The known simple groups ; The structure of the 'monster' simple groups / Robert L. Griess, Jr.
  • On the simple group F of order 2¹⁴�3⁶�5⁶�7�11�19 / Koichiro Harada
  • A monomial character of Fischer's baby monster / D. G. Higman
  • On the irreducible characters of a simple group of order 2⁴¹�3¹³�5⁶�7²�11�13�17�19�23�31�47 / Jeffrey S. Leon
  • A setting for the Leech lattice / John McKay
  • The submodule construction of Weyl modules for groups of type A₁ / R. Carter and E. Cline
  • On the 1-cohomology of finite groups of Lie type / Wayne Jones and Brian Parshall
  • Field automorphisms and maximal subgroups of finite Chevalley groups / N. Burgoyne, R. L. Griess Jr., and R. Lyons
  • On the degrees of certain characters of Chevalley groups / C. T. Benson, L. C. Grove, and D. B. Surowski
  • Part III. Representations ; The main problem of block theory / J. L. Alperin
  • On projective representations of finite wreath products / K. B. Farmer
  • Theorems relating finite groups and division algebras / Charles Ford
  • Exceptional characters of finite groups with a Frobenius subgroup / David A. Sibley
  • Simple groups with a cyclic Sylow subgroup / Leo J. Alex
  • On finite linear groups in dimension at most 10 / Walter Feit
  • Nonexistence of a finite group with a specified 7-block / Marshall Hall, Jr.
  • Linear groups containing an element with an eigenspace of codimension two / W. Cary Huffman and David B. Wales
  • On finite complex linear groups of degree (q-1)/2 / Henry S. Leonard, Jr.
  • Sylow automizers of odd order or an application of coherence / Stephen D. Smith
  • On groups of central type / Jay Yellen
  • Part IV. Permutation groups ; Two-transitive extensions of some groups / Peter Kornya
  • The non-existence of rank-3 transitive extensions of the Higman-Sims simple group / Spyros S. Magliveras
  • On the n,2n problem of Michael Fried / J. J. Scott
  • Block designs from Frobenius groups and planar near-rings / Gerhard Betsch and James R. Clay
  • Geometry of groups of lie type / Bruce Cooperstein
  • Locally dual affine geometries / Mark P. Hale, Jr.
  • Part V. Solvable groups ; The Hughes problem and generalizations / Joseph A. Gallian
  • A normalizer condition on finite p-groups / John D. Gillam
  • Products of formations / Ben Brewster
  • p-n groups and p-saturated formations / Elayne A. Idowu
  • Irreducible modules of solvable groups are algebraic / T. R. Berger
  • Certain Frobenius groups acting fixed-point-free on solvable groups / Arnold D. Feldman
  • Bounding the fitting length of a finite group / Trevor Hawkes.

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