Lübeck's classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups
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DOI: 10.1016/j.jnt.2019.06.010
Abstract: Abstract In this paper we prove that for each integer of the form n = 4 ϖ (where ϖ is a prime between 17 and 73) at least one of the following groups: P Ω… read more here.
Keywords: groups lie; simple groups; galois; lie type ... See more keywords
The maximal Tori of finite exceptional groups of Lie type
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DOI: 10.1080/00927872.2024.2358418
Abstract: Abstract Let G(q) be a twisted or untwisted finite exceptional group of Lie type over GF(q), either adjoint or simply connected, and let W be the Weyl group of G(q). This paper compiles an extensive… read more here.
Keywords: exceptional groups; lie type; finite exceptional; maximal tori ... See more keywords
Almost cyclic elements in cross-characteristic representations of finite groups of Lie type
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DOI: 10.1515/jgth-2018-0162
Abstract: Abstract This paper is a significant contribution to a general programme aimed to classify all projective irreducible representations of finite simple groups over an algebraically closed field, in which the image of at least one… read more here.
Keywords: groups lie; lie type; almost cyclic; cyclic elements ... See more keywords