Israel Journal of Mathematics

, Volume 111, Issue 1, pp 373–380 | Cite as

The finite quotients of the multiplicative group of a division algebra of degree 3 are solvable



LetD be a finite dimensional division algebra. It is known that in a variety of cases, questions about the normal subgroup structure ofD x (the multiplicative group ofD) can be reduced to questions about finite quotients ofD x. In this paper we prove that when deg(D)=3, finite quotients ofD x are solvable. the proof uses Wedderburn’s Factorization Theorem.


Normal Subgroup Algebraic Group Division Algebra Multiplicative Group Finite Simple Group 
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Copyright information

© Hebrew University 1999

Authors and Affiliations

  1. 1.Department of MathematicsBar-Ilan UniversityIsrael
  2. 2.Department of MathematicsBen-Gurion University of the NegevBeer ShevaIsrael

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