Multiplicative Groups of Division Rings

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Kiyaee, Mostafa | 2016

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 48938 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Mahdavi Hezavehi, Mohammad
Abstract:
This thesis is a survey of results of studies and researches in theory of Division rings and multiplicative groups of division rings and relations between group strcture and algebraic structure of division rings.in this case,we emphesized on study of finitely generated,maximal,nilpotent and soluble subgroups of division rings.we also,study the Valuation theory on division rings and Reduced K-theory of division rings and relations between these theories and group structure of division rings,morever,those which is finite dimensional over their center as vector spaces.at the end,we shortly,study divisible division rings and radicable division rings
Keywords:
Valuation Theory ; Division Rings ; Reduced K-Theory ; Multiplicative Group