Non-split linear Sharply 2-transitive groups

Yair Glasner, Dennis D. Gulko

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We give examples of countable linear groups Γ < SL3(R), with no nontrivial normal abelian subgroups, that admit a faithful sharply 2-transitive action on a set. Without the linearity assumption, such groups were recently constructed by Rips, Segev, and Tent in [J. Eur. Math. Soc. 19 (2017), pp. 2895–2910]. Our examples are of permutational characteristic 2, in the sense that involutions do not fix a point in the 2-transitive action.

Original languageEnglish
Pages (from-to)2305-2317
Number of pages13
JournalProceedings of the American Mathematical Society
Volume149
Issue number6
DOIs
StatePublished - 1 Jun 2021

Keywords

  • Linear groups
  • Sharply 2-transitive

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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