Algebraic (2,2)-transformation groups

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4 Citations (Scopus)

Abstract

In this paper we determine all algebraic trans-formation groups G, defined over an algebraical-ly closed field k, which operate transitively, but not primitively, on a variety M, provided the following conditions are fulfilled. We ask that the (non-effective) action of G on the va-riety of blocks is sharply 2-transitive, as well as the action on a block X of the normalizer Gx. Also we require sharp transitivity on pairs (X,Y)of independent points of M, i.e. points con-tained in different blocks.
Original languageEnglish
Pages (from-to)181-196
Number of pages16
JournalJournal of Group Theory
Volume12
Publication statusPublished - 2009

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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