An extension to the Hermite-Joubert problem
Let E/F be a field extension of degree n. A classical problem is to find a generating element in E whose characteristic polynomial over F is as simple is possible. An 1861 theorem of Ch. Hermite [5] asserts that for every separable field E/F of degree n there exists an element a ∈ E whose characteri...
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Language: | English |
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University of British Columbia
2016
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Online Access: | http://hdl.handle.net/2429/57924 |