On finite homomorphic images of the multiplicative group of a division algebra
نویسنده
چکیده
Conjecture 1 (A. Potapchik and A. Rapinchuk). Let D be a finite dimensional division algebra over an arbitrary field. Then D# does not have any normal subgroup N such that D#/N is a nonabelian finite simple group. Of course D# is the multiplicative group of D. Conjecture 1 appears in [4]. It is related to the following conjecture of G. Margulis and V. Platonov (Conjectures 9.1 and 9.2, pages 510–511 in [3], or Conjecture (PM) in [4]).
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تاریخ انتشار 1999