The classical involution theorem for groups of finite Morley rank

Berkman A.

JOURNAL OF ALGEBRA, cilt.243, sa.2, ss.361-384, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 243 Sayı: 2
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1006/jabr.2001.8854
  • Dergi Adı: JOURNAL OF ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.361-384
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main result of this work, which is an analogue of Aschbacher's Classical Involution Theorem for finite simple groups. (C) 2001 Academic Press.