Groups and geometries : Siena conference, September 1996

書誌事項

Groups and geometries : Siena conference, September 1996

Lino di Martino ... [et al.], editors

(Trends in mathematics)

Birkhäuser Verlag, c1998

  • : sz
  • : us

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注記

Includes bibliographical references

"On September 1-7, 1996 a conference on Groups and Geometries took place in lovely Siena, Italy" -- Pref

内容説明・目次

内容説明

The Conference on Groups and Geometries held in Siena in 1996, addressed a broad range of topics in group theory and geometry, with emphasis on recent results and open problems. Special attention was drawn to the interplay between group-theoretic methods and geometric and combinatorial ones. Expanded versions of many of the talks appear in these proceedings. Algebraists and geometers will encounter in this conference record a collection of ideas stemming from work in such areas as: the classification of finite simple groups; the structure and properties of groups of Lie type over finite and algebraically closed fields of finite characteristics; buildings, and the geometry of projective and polar spaces; and geometries of sporadic simple groups.

目次

  • Quasithin groups, M.G. Aschbacher and S.D. Smith
  • the non-canonical gluings of two affine spaces, B. Baumeister and G. Stroth
  • the geometry far from a residue, R.J. Blok and A.E. Brouwer
  • on flag-transitive incidence geometries of rank 6 for the Mathieu group M12, F. Beukenhout et al
  • on a connection between ovoids on the hyperbolic quadric Q+(10,q) and the Lie incidence geometry E6,1(q), B.N. Cooperstein
  • the residually weakly primitive geometries of the Janko group J1, H. Gottschalk and D. Leemans
  • the first cohomology group and generation of simple groups, R.M. Guralnick and C. Hoffman
  • a characterization of the Hall-Janko group J2 by a c.L*-geometry, C. Huybrechts and A. Pasini
  • affine extended dual polar spaces, A.A. Ivanov
  • derivable nets may be embedded in nonderivable planes, N.L. Johnson
  • regular orbits and the k(GV)-problem, M.W. Liebeck
  • generating minimally transitive groups, A. Lucchini
  • maximal subgroups of finite exceptional groups, G.M. Seitz
  • subgroup structure, fractal dimension and Kac-Moody algebras, A. Shalev
  • aspects of buildings, E. Shult
  • generalized quadrangles arising from groups generated by abstract transvection groups, A.I. Steinbach
  • embeddings of geometries infinite projective spaces - a survey, J.A. Thas
  • affine extensions of near hexagons related to the spin module of type B3, J van Bon and H. Cuypers
  • ovoids and spreads arising from involutions, H. van Maldeghem
  • the Borel-Tits property for finite groups, S. Yoshiara
  • generalized reflection groups 1 -constructing the algebra, F. Zara.

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