Article contents
THE RIGHT ANGLE TO LOOK AT ORTHOGONAL SETS
Published online by Cambridge University Press: 29 September 2016
Abstract
If X and Y are orthogonal hyperdefinable sets such that X is simple, then any group G interpretable in X ∪ Y has a normal hyperdefinable X-internal subgroup N such that G/N is Y-internal; N is unique up to commensurability. In order to make sense of this statement, local simplicity theory for hyperdefinable sets is developed. Moreover, a version of Schlichting’s Theorem for hyperdefinable families of commensurable subgroups is shown.
- Type
- Articles
- Information
- Copyright
- Copyright © The Association for Symbolic Logic 2016
References
REFERENCES
- 1
- Cited by