On 2-step solvable groups of finite Morley rank
On 2-step solvable groups of finite Morley rank
We prove the following results: <bold>Theorem 1</bold>. <italic>Let</italic> <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding="application/x-tex">G</mml:annotation> </mml:semantics> </mml:math> </inline-formula> <italic>be a connected, centerless, solvable group of class</italic> 2 <italic>and of finite Morley rank. Then we can interpret in</italic> <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding="application/x-tex">G</mml:annotation> …