CONJUGACY OF CARTER SUBGROUPS IN GROUPS OF FINITE MORLEY RANK

被引：9

作者：

Frecon, Olivier ^{[1
]}

机构：

[1] Univ Poitiers, Lab Math & Applicat, F-86962 Futuroscope, France

来源：

JOURNAL OF MATHEMATICAL LOGIC | 2008年 / 8卷 / 01期

关键词：

Cherlin-Zil'ber Conjecture; groups of finite Morley rank; Carter subgroups; Cartan subgroups;

D O I：

10.1142/S0219061308000713

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Cherlin-Zil'ber Conjecture states that all simple groups of finite Morley rank are algebraic. We prove that any minimal counterexample to this conjecture has a unique conjugacy class of Carter subgroups, which are analogous to Cartan subgroups in algebraic groups.

引用

页码：41 / 92

页数：52

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