The right angle to look at orthogonal sets - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2016

The right angle to look at orthogonal sets

Frank Olaf Wagner

Résumé

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 developped. Moreover, a version of Schlichting's Theorem for hyperdefinable families of commensurable subgroups is shown.
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Dates et versions

hal-00876033 , version 1 (23-10-2013)
hal-00876033 , version 2 (03-12-2014)
hal-00876033 , version 3 (01-10-2015)
hal-00876033 , version 4 (02-02-2016)
hal-00876033 , version 5 (06-07-2016)

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Frank Olaf Wagner. The right angle to look at orthogonal sets. 2016. ⟨hal-00876033v4⟩
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