Approximation in Algebraic Groups
Lambert M. Surhone
Sold by buchversandmimpf2000, Emtmannsberg, BAYE, Germany
AbeBooks Seller since January 23, 2017
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Add to basketSold by buchversandmimpf2000, Emtmannsberg, BAYE, Germany
AbeBooks Seller since January 23, 2017
Condition: New
Quantity: 1 available
Add to basketThis item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsstrong approximation in linear algebraic groups is an importantarithmetic property of matrix groups. In rough terms, it explains towhat extent there can be an extension of the Chinese remainder theoremto various kinds of matrices. For example, for orthogonal matricesthere cannot be such an extension and there is a theory explaining whythere is, and where the problem lies (it is in the spin groups). Strongapproximation was established in the 1960s and 1970s, for algebraicgroups that are semisimple groups and simply-connected, for globalfields. The results for number fields are due to Martin Kneser andVladimir Platonov; the function field case, over finite fields, is dueto Grigory Margulis and Gopal Prasad. In the number field case a resultover local fields, the Kneser-Tits conjecture of Kneser and JacquesTits, was proved along the way.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 72 pp. Englisch.
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