Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank (Q318322)
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scientific article; zbMATH DE number 5768427
- Small groups of finite Morley rank with involutions
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank |
scientific article; zbMATH DE number 5768427 |
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Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank (English)
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Small groups of finite Morley rank with involutions (English)
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5 October 2016
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11 August 2010
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A group \(G\) of finite Morley rank is called a \(N_{\circ}^{\circ}\)-group if \(N_{G}^{\circ}(A)\), the connected component of \(N_{G}(A)\), is soluble for every nontrivial, definable, abelian, connected subgroup \(A\) of \(G\). The purpose of the paper under review is to study the \(2\)-structure of groups of finite Morley rank containing a definable, normal, nonsoluble \(N_{\circ}^{\circ}\)-subgroup.
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groups of finite Morley rank
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Cherlin-Zilber conjecture
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\(N\)-groups
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solvable local subgroups
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groups of even type
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groups of odd type
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0.9235371
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0.9211091
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0.9174819
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0.9122211
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0.8956329
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0.89381343
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