Simple <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-groups of even type with weakly embedded subgroups

We generalize several properties of linear algebraic groups to the case of the linear groups which are defined in a field of finite Morley rank. We show three structure theorems and the conjugacy of the borels, of the Carter subgroups, of the maximal tori. In conclusion we generalize the results to fields of Morley rank ω.n without subgroups of finite rank. In contrary to the case of finite Morley rank there are known examples of such fields with definable non-algebraic subgroups of GL n (K).

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Limoncello

Altınel

Cherlin

2005

Journal of Algebra

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Simple L∗-groups of even type with weakly embedded subgroups

Cited by 7 publications

References 16 publications

Involutions in groups of finite Morley rank of degenerate type

Involutions in groups of finite Morley rank of degenerate type

Structure des groupes linéaires définissables dans un corps de rang de Morley fini

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