arXiv subjects

Christine Altseimer

Publications and source records attributed to Christine Altseimer.

2 recordsLinked to original sources

arXiv1998

Strongly Embedded Subgroups of Groups of Odd Type

In this paper we prove that any strongly embedded subgroup of a K*-group G of finite Morley rank and odd type that does not interpret any bad field is solvable if its Pruefer 2-rank is at least 2. If the normal 2-rank of G is at least 3 this has two important consequences: If G contains a non-solvable centraliser of an involution, then G does not contain any proper 2-generated core and centralisers of involutions have trivial cores.

math.GR↗

arXiv1998

A Characterisation of G_2(K)

This paper gives a characterisation of the group G_2(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.

math.GR↗