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CLAUDIO BARTOLONE

Algebraic (2,2)-transformation groups

  • Autori: Bartolone, C.; DI BARTOLO, A.; Strambach, K.
  • Anno di pubblicazione: 2009
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: permutation groups

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.

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