article07_3. 311KB Jun 04 2011 12:06:53 AM
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Quadratic quaternion forms, introduced by Seip-Hornix (1965), are special cases of generalized quadratic forms over algebras with involutions. We apply the formalism of
We restrict our search to all primitive number fields (see section 3) generated by an irreducible degree nine monic polynomial and which are ramified at only one prime less than 11..
Next section 4 develops the notion of reduced Witt vectors; this is used to compute the Artin-Schreier-Witt symbol in section 5 and thus to describe the ramification groups for
The table also contains the explicit reduced definite positive binary forms and the corresponding points for determinants 8 and 20.... Bayer , Quaternion orders, quadratic forms
(Indeed, if the residue class field k has characteristic 0, and hence K ′ /K can only be tamely ramified, the proof of Theorem 2.2 is relatively easy.) Recent work of Lehr and
Cela r´esulte aussi du th´eor`eme et du fait qu’il n’existe pas de Z 2- extension totalement ramifi´ee de Q 2 , dont les nombres de ramification en num´erotation sup´erieure soit
Block matrix, Determinant, Quaternion matrices, Universal factorization, Involu- tory matrices, Idempotent matrices.. AMS
Applying Lemma 4.1 to each fully indecomposable component of (4.1) shows there exists a permanent maximizer whose fully indecomposable compo- nents are striped... Let nnzr Ai denote
