A Characterisation of G₂(K)

1998/11/27 by Christine Altseimer, Altseimer, Christine
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #math.GR #math.LO

paper · pdf · doi:10.48550/arxiv.math/9811164

15 pages

arxiv created 1998/11/27 · arxiv updated 2009/11/30

Abstract

This paper gives a characterisation of the group G₂(K) over an algebraically closed field K of characteristic not 2 inside the class of simple K*-groups of finite Morley rank not interpreting a bad field using the structure of centralizers of involutions. This implies a general characterisation of tame K*-groups od odd type whose centralizers have a certain natural structure.

Related

• Linear groups of finite Morley rank
• Strongly Embedded Subgroups of Groups of Odd Type
• Involutions of type G₂ over a field of characteristic 2
• A generation theorem for groups of finite Morley rank
• A classification of spherical conjugacy classes in good characteristic