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Sharply 2-transitive groups of finite Morley rank

Tuna Altinel
  • Function : Author
  • PersonId : 925813
Ayse Berkman
  • Function : Author
  • PersonId : 1039563
Frank Olaf Wagner
  • Function : Author
  • PersonId : 872579

Abstract

A near-field of finite Morley rank and characteristic different from 2 is an algebraically closed field. It follows that sharply 2-transitive permutation group of finite Morley rank of permutation characteristic 3 is the group of affine transformations of an algebraically closed field of characteristic 3.
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Dates and versions

hal-01935537 , version 1 (26-11-2018)
hal-01935537 , version 2 (20-05-2019)

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Tuna Altinel, Ayse Berkman, Frank Olaf Wagner. Sharply 2-transitive groups of finite Morley rank. 2019. ⟨hal-01935537v2⟩
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