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On the Proof of Some Theorem on Locally Nilpotent Subgroups in Division Rings

✍ Scribed by Hai, Bui Xuan; Thin, Nguyen Van


Book ID
118253872
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
100 KB
Volume
41
Category
Article
ISSN
0092-7872

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Let D be a division ring with centre F. Denote by D \* the multiplicative group of D. The relation between valuations on D and maximal subgroups of D \* is investigated. In the ΓΏnite dimensional case, it is shown that F \* has a maximal subgroup if Br(F) is non-trivial provided that the characterist