Kauta, John S. and Marubayashi, H. and Miyamoto, H.
(2003)
*Crossed product orders over valuation rings II: Tamely ramified crossed product algebras.*
Bulletin of the London Mathematical Society, 35
(4).
pp. 541-552.
ISSN 0024-6093

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## Abstract

Let V be a commutative valuation domain of arbitrary K rull-dimension, with quotient field F, let K be a finite Galois extension of F with group G, and let S be the integral closure of V in K. Suppose that one has a 2-cocycle on G that takes values in the group of units of S. Then one can form the crossed product of G over S, S * G, which is a V-order in the central simple F-algebra K * G. If S * G is assumed to be a Dubrovin valuation ring of K * G, then the main result of this paper is that, given a suitable definition of tameness for central simple algebras, K * G is tamely ramified and defectless over F if and only if K is tamely ramified and defectless over F. The residue structure of S * G is also considered in the paper, as well as its behaviour upon passage to Henselization.

Item Type: | Journal Article |
---|---|

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences |

Depositing User: | John Kauta |

Date Deposited: | 05 Nov 2013 22:45 |

Last Modified: | 05 Nov 2013 22:45 |

URI: | http://repository.usp.ac.fj/id/eprint/7011 |

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