Almost Recognizability by Spectrum of Simple Exceptional Groups of Lie Type
نویسندگان
چکیده
منابع مشابه
Black Box Exceptional Groups of Lie Type
If a black box group is known to be isomorphic to an exceptional simple group of Lie type of (twisted) rank > 1, other than any F4(q), over a field of known size, a Las Vegas algorithm is given to produce a constructive isomorphism. In view of its timing, this algorithm yields an upgrade of all known nearly linear time Monte Carlo permutation group algorithms to Las Vegas algorithms when the in...
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Now, in the present book, we describe simply connected compact exceptional simple Lie groups G2, F4, E6, E7, E8, in very elementary way. The contents are given as follows. We first construct all simply connected compact exceptional Lie groups G concretely. Next, we find all involutive automorphisms σ of G, and determine the group structures of the fixed points subgroup G by σ. Note that they co...
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Until recently it was impractical to use general purpose computer algebra systems to investigate Chevalley groups except for those of small rank over small fields. But computer algebra systems (such as Magma (Bosma et al. 1997) and GAP (Schönert et al. 1994)) now have the power to deal with some aspects of all finite groups of Lie type. A natural way to represent these groups is via matrices ov...
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Article history: Received 29 April 2014 Available online 17 September 2014 Communicated by Charles Leedham-Green MSC: primary 20D06, 20G40 secondary 20B40, 20G41, 20P05, 68Q25
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ژورنال
عنوان ژورنال: Algebra and Logic
سال: 2015
ISSN: 0002-5232,1573-8302
DOI: 10.1007/s10469-015-9305-1