منابع مشابه
The Permutation Lemma of Richard Brauer
Dear Charlie, I promised to write to you about the "characteristic-free" extension of Richard Brauer's Lemma: if a row permutation and a column permutation have the same effect on a nonsingular matrix, the two permutations must have the same number of cycles of any given length. Differently put: if two permutation matrices are conjugate in the general linear group, they are already conjugate in...
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Telemedicine technology is rapidly evolving. Whereas early telemedicine consultations relied primarily on video conferencing, consultations today may utilize video conferencing, medical peripherals, storeand-forward capabilities, electronic patient record management software, and/or a host of other emerging technologies. These remote care systems rely increasingly on distributed, collaborative ...
متن کاملNISTIR 7878 Combinatorial Coverage Measurement D . Richard
Combinatorial testing applies factor covering arrays [6, 7] to test all t-way combinations of input or configuration state space. In some testing situations, it is not practical to use covering arrays, but any set of tests with n parameters covers at least some proportion of t-way combinations up to t ≤ n. This report describes measures of combinatorial coverage that can be used in evaluating t...
متن کاملBrauer Groups
I define the Brauer group of a field k as similarity classes of central simple algebras over k. Then I introduce non-abelean cohomology and use it to prove that the Brauer group is isomorphic to a certain cohomology group. Brauer groups show up in global class field theory.
متن کاملBrauer Algebras and the Brauer Group
An algebra is a vector space V over a field k together with a kbilinear product of vectors under which V is a ring. A certain class of algebras, called Brauer algebras algebras which split over a finite Galois extension appear in many subfields of abstract algebra, including K-theory and class field theory. Beginning with a definition of the the tensor product, we define and study Brauer algebr...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1979
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1979-14547-6