Normal subgroups of $GL_n(D)$ are not finitely generated
نویسندگان
چکیده
منابع مشابه
NORMAL SUBGROUPS OF GLn(D) ARE NOT FINITELY GENERATED
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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-05182-5