Strongly Embedded Subgroups of Groups of Odd Type

Details Strongly Embedded Subgroups of Groups of Odd Type Strongly Embedded Subgroups of Groups of Odd Type

1998-11-27

arxiv.org/abs/math/9811163v1

Mathematics

Group Theory

12 pages

Scientific paper

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.

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