Sharply 2-transitive linear groups

Yair Glasner, Dennis D. Gulko

Research output: Contribution to journalArticlepeer-review


A group Γ is sharply 2-transitive if it admits a faithful permutation representation that is transitive and free on pairs of distinct points. Conjecturally, for all such groups there exists a near-field N (i.e. a skew field that is distributive only from the left, see Definition 2) such that. This is well known in the finite case. We prove this conjecture when Γ<GLn(F) is a linear group, where F is any field with char(F)≠2 and that p-char(Γ)≠2 (see Definition 2.2).

Original languageAmerican English
Pages (from-to)2691-2701
Number of pages11
JournalInternational Mathematics Research Notices
Issue number10
StatePublished - 1 Jan 2014

All Science Journal Classification (ASJC) codes

  • General Mathematics


Dive into the research topics of 'Sharply 2-transitive linear groups'. Together they form a unique fingerprint.

Cite this