GROUPS OF FINITE MORLEY RANK WITH SOLVABLE LOCAL SUBGROUPS

被引：3

作者：

Deloro, Adrien ^{[2
]}

Jaligot, Eric ^{[1
]}

机构：

[1] Univ Grenoble 1, CNRS, Inst Fourier, F-38402 St Martin Dheres, France

[2] Univ Paris 06, Inst Math Jussieu, Paris, France

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 03期

关键词：

Bender method; Cherlin-Zilber conjecture; Feit-Thompson theorem; Morley rank; CARTER SUBGROUPS; THEOREM; INVOLUTIONS; FIELDS; TORI;

D O I：

10.1080/00927872.2010.544695

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We lay down the fundations of the theory of groups of finite Morley rank in which local subgroups are solvable and we proceed to the local analysis of these groups. We prove a main Uniqueness Theorem, analogous to the Bender method in finite group theory, and derive its corollaries. We also consider homogeneous cases and study torsion.

引用

页码：1019 / 1068

页数：50

共 56 条

[11] A signalizer functor theorem for groups of finite Morley rank
Burdges, J
[J]. JOURNAL OF ALGEBRA, 2004, 274 (01) : 215 - 229
[12] Borovik-Poizat rank and stability
Burdges, J
Cherlin, G
[J]. JOURNAL OF SYMBOLIC LOGIC, 2002, 67 (04) : 1570 - 1578
[13] BURDGES J, 2004, THESIS RUTGERS U
[14] Minimal connected simple groups of finite Morley rank with strongly embedded subgroups
Burdges, Jeffrey
Cherlin, Gregory
Jaligot, Eric
[J]. JOURNAL OF ALGEBRA, 2007, 314 (02) : 581 - 612
[15] The Bender method in groups of finite Morley rank
Burdges, Jeffrey
[J]. JOURNAL OF ALGEBRA, 2007, 312 (01) : 33 - 55
[16] Sylow theory for p=0 in solvable groups of finite Morley rank
Burdges, Jeffrey
[J]. JOURNAL OF GROUP THEORY, 2006, 9 (04) : 467 - 481
[17] SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK
Burdges, Jeffrey
Cherlin, Gregory
[J]. JOURNAL OF MATHEMATICAL LOGIC, 2009, 9 (02) : 183 - 200
[18] Good tori in groups of finite Morley rank
Cherlin, G
[J]. JOURNAL OF GROUP THEORY, 2005, 8 (05) : 613 - 621
[19] Tame minimal simple groups of finite Morley rank
Cherlin, G
Jaligot, E
[J]. JOURNAL OF ALGEBRA, 2004, 276 (01) : 13 - 79
[20] Cherlin Gregory, 1979, Ann. Math. Logic, V17, P1

← 1 2 3 4 5 6 →