Absolute connectedness and classical groups

Details Absolute connectedness and classical groups Absolute connectedness and classical groups

2010-02-08

arxiv.org/abs/1002.1516v4

Mathematics

Group Theory

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Scientific paper

We prove for groups of rational points of split semisimple linear groups
(Chevalley groups) over arbitrary infinite fields, connected perfect linear
algebraic groups, some infinite permutation groups and infinite dimensional
general linear groups, a model theoretical property called absolute
connectedness, which is related to diameters of the Lascar strong types.

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