A GENERATION THEOREM FOR GROUPS OF FINITE MORLEY RANK-Reference-Cited by-同舟云学术

A GENERATION THEOREM FOR GROUPS OF FINITE MORLEY RANK

Published:2008-12 Issue:02 Volume:08 Page:163-195
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

BURDGES JEFFREY¹,CHERLIN GREGORY²

Affiliation:

1. Institut Camille Jordan, Université de Lyon-I, Lyon, France

2. Mathematics Department, Rutgers University, Piscataway, NJ, USA

Abstract

We deal with two forms of the "uniqueness cases" in the classification of large simple K*-groups of finite Morley rank of odd type, where large means the 2-rank m2(G) is at least three. This substantially extends results known for even larger groups having Prüfer 2-rank at least three, so as to cover the two groups PSp 4 and G 2. With an eye towards more distant developments, we carry out this analysis for L*-groups, a context which is substantially broader than the K* setting.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061308000750

Reference22 articles.

1. Simple Groups of Finite Morley Rank

2. On central extensions of algebraic groups

3. On groups of finite Morley rank of even type

4. Groups of Finite Morley Rank with Strongly Embedded Subgroups

5. A GENERIC IDENTIFICATION THEOREM FOR GROUPS OF FINITE MORLEY RANK

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