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Sharply 2-transitive groups of characteristic 0

An erratum for this article can be found here: https://doi.org/10.1515/crelle-2017-0022
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Published/Copyright: October 11, 2016
Journal für die reine und angewandte Mathematik (Crelles Journal)
From the journal Journal für die reine und angewandte Mathematik (Crelles Journal) Volume 2019 Issue 750

Abstract

We construct sharply 2-transitive groups of characteristic 0 without regular normal subgroups. These groups act sharply 2-transitively by conjugation on their involutions. This answers a long-standing open question.

Funding source: Deutsche Forschungsgemeinschaft

Award Identifier / Grant number: SFB 878

Funding statement: The research of the first author was partially supported by the Israel Science Foundation. The second author was partially supported by SFB 878.

References

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Received: 2016-04-01
Revised: 2016-08-22
Published Online: 2016-10-11
Published in Print: 2019-05-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Supercuspidal representations and preservation principle of theta correspondence
  3. Essential regularity of the model space for the Weil–Petersson metric
  4. Generalized Lagrangian mean curvature flows: The cotangent bundle case
  5. Prime factors of quantum Schubert cell algebras and clusters for quantum Richardson varieties
  6. Imaginaries and invariant types in existentially closed valued differential fields
  7. Representations of categories of G-maps
  8. Sharply 2-transitive groups of characteristic 0
  9. Addendum to Sharply 2-transitive groups of characteristic 0
  10. Besicovitch Covering Property on graded groups and applications to measure differentiation
https://doi.org/10.1515/crelle-2016-0054

Articles in the same Issue

  1. Frontmatter
  2. Supercuspidal representations and preservation principle of theta correspondence
  3. Essential regularity of the model space for the Weil–Petersson metric
  4. Generalized Lagrangian mean curvature flows: The cotangent bundle case
  5. Prime factors of quantum Schubert cell algebras and clusters for quantum Richardson varieties
  6. Imaginaries and invariant types in existentially closed valued differential fields
  7. Representations of categories of G-maps
  8. Sharply 2-transitive groups of characteristic 0
  9. Addendum to Sharply 2-transitive groups of characteristic 0
  10. Besicovitch Covering Property on graded groups and applications to measure differentiation
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