911���պ���

Search or filter publications

Search publications Search

Filter by type:

Filter by publication type

• Book
• Book chapter
• Conference paper
• Journal article
• Patent
• Report
• Software

Filter by year:

Filter from 20192018201720162015201420132012201120102009200820072006200520042003200220012000199919981997199619951994199319921991199019891988198719861985198419831982198119801979 to Filter to 20192018201720162015201420132012201120102009200820072006200520042003200220012000199919981997199619951994199319921991199019891988198719861985198419831982198119801979

---

Search results

• Journal article
  Liebeck MW, Shalev A, 2005,
  , PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Vol: 90, Pages: 61-86, ISSN: 0024-6115
  • Cite
  • Citations: 74
• Journal article
  Liebeck MW, Martin BM, Shalev A, 2005,

  On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function

  , Duke Mathematical Journal, Vol: 128, Pages: 541-557, ISSN: 0012-7094
  • Cite
• Journal article
  Evans DM, 2004,
  , Journal of Combinatorial Designs, Vol: 12, Pages: 459-465, ISSN: 1063-8539

  For all 'reasonable' finite t; k, and s, we construct a t-(א0,k, 1) design and a group of automorphisms which is transitive on blocks and has s orbits on points. In particular, there is a 2-(א0, 4, 1) design with a block-transitive group of automorphisms having two point orbits. This answers a question of P. J. Cameron and C. E. Praeger. The construction is presented in a purely combinatorial way, but is a by-product of a new way of looking at a model-theoretic construction of E. Hrushovski. © 2004 Wiley Periodicals, Inc.

  • Abstract
  • Cite
  • Citations: 8
• Journal article
  Liebeck MW, Shalev A, 2004,
  , JOURNAL OF ALGEBRA, Vol: 276, Pages: 552-601, ISSN: 0021-8693
  • Cite
  • Citations: 77
• Journal article
  Liebeck MW, Seitz GM, 2004,

  The maximal subgroups of positive dimension in exceptional algebraic groups

  , MEM AM MATH SOC, Vol: 169, Pages: 1-227, ISSN: 0065-9266

  In this paper we complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.A number of consequences are obtained. It follows from the main theorem that a simple algebraic group over an algebraically closed field has only finitely many conjugacy classes of maximal subgroups of positive dimension. It also follows that the maximal subgroups of sufficiently large order in finite exceptional groups of Lie type are known.

  • Abstract
  • Cite
• Journal article
  Liebeck MW, Testerman DM, 2004,
  , QUARTERLY JOURNAL OF MATHEMATICS, Vol: 55, Pages: 47-55, ISSN: 0033-5606
  • Cite
  • Citations: 22
• Journal article
  Liebeck MW, Shalev A, 2004,
  , COMMUNICATIONS IN ALGEBRA, Vol: 32, Pages: 657-661, ISSN: 0092-7872
  • Cite
  • Citations: 2
• Journal article
  Liebeck MW, Seitz GM, 2004,
  , JOURNAL OF GROUP THEORY, Vol: 7, Pages: 347-372, ISSN: 1433-5883
  • Cite
  • Citations: 15
• Journal article
  Liebeck MW, Shalev A, 2003,
  , JOURNAL OF ALGEBRA, Vol: 268, Pages: 286-289, ISSN: 0021-8693
  • Cite
• Journal article
  Liebeck MW, Shalev A, 2003,
  , JOURNAL OF ALGEBRA, Vol: 268, Pages: 264-285, ISSN: 0021-8693
  • Cite
  • Citations: 5

This data is extracted from the Web of Science and reproduced under a licence from Thomson Reuters. You may not copy or re-distribute this data in whole or in part without the written consent of the Science business of Thomson Reuters.