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IPM
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YEARS OLD

“School of Mathematics”

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Paper   IPM / M / 526
School of Mathematics
  Title:   Normal subgroups of GLn(D) are not finitely generated
  Author(s): 
1.  S. Akbari
2.  M. Mahdavi-Hezavehi
  Status:   Published
  Journal: Proc. Amer. Math. Soc.
  No.:  6
  Vol.:  128
  Year:  1999
  Pages:   1627-1632
  Supported by:  IPM
  Abstract:
As a generalization of Wedderburn's classic theorem, it is shown that the multiplicative group of a noncommutative finite dimensional division algebra cannot be finitely generated. Also, the following conjecture is investigated: An infinite non-central normal subgroup of GLn(D) cannot be finitely generated.

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