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• Journal article
  Burness TC, Liebeck MW, Shalev A, 2009,
  , PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Vol: 98, Pages: 116-162, ISSN: 0024-6115
  • Cite
  • Citations: 67
• Journal article
  Evans DM, 2008,
  , Journal of the Institute of Mathematics of Jussieu, Vol: 7, Pages: 735-750, ISSN: 1474-7480

  The notion of an angular function has been introduced by Zilber as one possible way of connecting non-commutative geometry with two 'counterexamples' from model theory: the non-classical Zariski curves of Hrushovski and Zilber, and Poizat's field with green points. This article discusses some questions of Zilber relating to existentially closed structures in the class of algebraically closed fields with an angular function. © 2008 Cambridge University Press.

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  • Citations: 1
• Journal article
  Cargo DP, de Launey W, Liebeck MW, Stafford RMet al., 2008,
  , JOURNAL OF GROUP THEORY, Vol: 11, Pages: 675-690, ISSN: 1433-5883
  • Cite
  • Citations: 2
• Journal article
  Liebeck MW, Pyber L, Shalev A, 2007,
  , JOURNAL OF ALGEBRA, Vol: 317, Pages: 184-197, ISSN: 0021-8693
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  • Citations: 29
• Journal article
  Liebeck MW, Shalev A, 2007,
  , BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Vol: 39, Pages: 467-472, ISSN: 0024-6093
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  • Citations: 1
• Journal article
  Liebeck MW, O'Brien EA, 2007,
  , JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol: 75, Pages: 741-754, ISSN: 0024-6107
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  • Citations: 14
• Journal article
  Evans DM, Hewitt PR, 2006,
  , Communications in Algebra, Vol: 34, Pages: 1251-1264, ISSN: 0092-7872

  Model theorists have made use of low-dimensional continuous cohomology of infinite permutation groups on profinite modules, see Ahlbrandt and Ziegler (1991), Evans (1997b), Evans et al. (1997), and Hodges and Pillay (1994), for example. We expand the module category in order to widen the cohomological toolkit. For an important class of groups we use these tools to establish criteria for finiteness of cohomology.

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  • Citations: 4
• Journal article
  Liebeck MW, Seitz GM, 2005,
  , JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol: 71, Pages: 345-361, ISSN: 0024-6107
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  • Citations: 10
• Journal article
  Liebeck MW, Shalev A, 2005,
  , INVENTIONES MATHEMATICAE, Vol: 159, Pages: 317-367, ISSN: 0020-9910
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  • Citations: 64
• Journal article
  Evans DM, 2005,
  , Journal of the London Mathematical Society, Vol: 72, Pages: 351-363, ISSN: 0024-6107

  A new viewpoint is offered on some of the generic structures constructed using Hrushovski's predimensions and it is shown that they are natural reducts of quite straightforward trivial, one-based stable structures. © 2005 London Mathematical Society.

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  • Citations: 6

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