Remarks on normal bases
Colloquium Mathematicae (2001)
- Volume: 87, Issue: 1, page 79-84
- ISSN: 0010-1354
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topMarcin Mazur. "Remarks on normal bases." Colloquium Mathematicae 87.1 (2001): 79-84. <http://eudml.org/doc/284291>.
@article{MarcinMazur2001,
abstract = {We prove that any Galois extension of a commutative ring with a normal basis and abelian Galois group of odd order has a self-dual normal basis. We apply this result to get a very simple proof of nonexistence of normal bases for certain extensions which are of interest in number theory.},
author = {Marcin Mazur},
journal = {Colloquium Mathematicae},
keywords = {normal bases; trace form; cyclotomic extensions},
language = {eng},
number = {1},
pages = {79-84},
title = {Remarks on normal bases},
url = {http://eudml.org/doc/284291},
volume = {87},
year = {2001},
}
TY - JOUR
AU - Marcin Mazur
TI - Remarks on normal bases
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 1
SP - 79
EP - 84
AB - We prove that any Galois extension of a commutative ring with a normal basis and abelian Galois group of odd order has a self-dual normal basis. We apply this result to get a very simple proof of nonexistence of normal bases for certain extensions which are of interest in number theory.
LA - eng
KW - normal bases; trace form; cyclotomic extensions
UR - http://eudml.org/doc/284291
ER -
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