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Journal articleBurness TC, Liebeck MW, Shalev A, 2009,
Base sizes for simple groups and a conjecture of Cameron
, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Vol: 98, Pages: 116-162, ISSN: 0024-6115- Author Web Link
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- Citations: 56
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Journal articleEvans DM, 2008,
Expansions of fields by angular functions
, Journal of the Institute of Mathematics of Jussieu, Vol: 7, Pages: 735-750, ISSN: 1474-7480The 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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Journal articleCargo DP, de Launey W, Liebeck MW, et al., 2008,
Short two-variable identities for finite groups
, JOURNAL OF GROUP THEORY, Vol: 11, Pages: 675-690, ISSN: 1433-5883- Author Web Link
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- Citations: 2
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Journal articleLiebeck MW, Pyber L, Shalev A, 2007,
On a conjecture of GE wall
, JOURNAL OF ALGEBRA, Vol: 317, Pages: 184-197, ISSN: 0021-8693- Author Web Link
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- Citations: 27
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Journal articleLiebeck MW, Shalev A, 2007,
The sparsity of dimensions of irreducible representations of finite simple groups
, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Vol: 39, Pages: 467-472, ISSN: 0024-6093- Author Web Link
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- Citations: 1
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Journal articleLiebeck MW, O'Brien EA, 2007,
Finding the characteristic of a group of lie type
, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol: 75, Pages: 741-754, ISSN: 0024-6107- Author Web Link
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- Citations: 14
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Journal articleEvans DM, Hewitt PR, 2006,
Continuous cohomology of permutation groups on profinite modules
, Communications in Algebra, Vol: 34, Pages: 1251-1264, ISSN: 0092-7872Model 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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Journal articleLiebeck MW, Seitz GM, 2005,
Maximal subgroups of large rank in exceptional groups of Lie type
, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol: 71, Pages: 345-361, ISSN: 0024-6107- Author Web Link
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- Citations: 10
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Journal articleLiebeck MW, Shalev A, 2005,
Fuchsian groups, finite simple groups and representation varieties
, INVENTIONES MATHEMATICAE, Vol: 159, Pages: 317-367, ISSN: 0020-9910- Author Web Link
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- Citations: 55
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Journal articleEvans DM, 2005,
Tivial stable structures with non-trivial reducts
, Journal of the London Mathematical Society, Vol: 72, Pages: 351-363, ISSN: 0024-6107A 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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