Y. Peterzil, A. Pillay, S. Starchenko, `Linear groups definable in o-minimal structures`, preprint. Home/Search Document Details and Download
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Permutation Groups in O-Minimal Structures - Macpherson, Mosley, Tent (Correct)
....that for every i 2 f1; kg there is a definable real closed field R i and a definable isomorphism between H i and a semialgebraic subgroup of GL(n; R i ) Every H i is H i definably simple and its M definably connected component H o i is definably simple. Theorem 2.6 (Theorem 4. 1 of [18]) Assume that M expands a real closed field R and that G is a definable subgroup of GL(n; R) Then there is a semialgebraic normal subgroup H Theta G such that G=H is abelian. 3 The O Nan Scott Reduction Proof of Theorem 1.2. We begin with a definably primitive permutation group (G; definable ....
Y. Peterzil, A. Pillay, S. Starchenko, `Linear groups definable in o-minimal structures`, preprint.
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