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Galois theory and commutators

✍ Scribed by Tomas Everaert; Tim Van der Linden

Publisher: Springer
Year: 2011
Tongue: English
Weight: 280 KB
Volume: 65
Category: Article
ISSN: 0002-5240
DOI: 10.1007/s00012-011-0121-8

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Let K be a field admitting a Galois extension L of degree n with Galois group G. Artin's lemma on the independence of characters implies that the algebra of K-linear endomorphisms of L is identical with the set of L-linear combinations of the elements of G. This paper examines some consequences of t