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Abstract
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We classify a large class of small groups of finite Morley rank:
-groups
which are the infinite analogues of Thompson’s
-groups. More precisely,
we constrain the
-structure
of groups of finite Morley rank containing a definable, normal, nonsoluble,
-subgroup.
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Keywords
groups of finite Morley rank, Cherlin–Zilber conjecture,
$N$-groups
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Mathematical Subject Classification 2010
Primary: 20F11
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Milestones
Received: 20 April 2015
Accepted: 23 February 2016
Published: 27 September 2016
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