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Showing 1 to 6 of 6 for “"rank 3"”.
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Rank 3 permuation characters and maximal subgroups
… in G of a point in E. We say G is primitive rank 3 on E if P is maximal in G and P has exactly three orbits on E. For any subgroup H of G, we denote by 1 \(\frac{G}{H}\) the permutation character or permutation module over the complex number field of G on the cosets G/H. Let H and K be …
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Representation theory of the global Cherednik algebra
… us relate the angular momentum algebra for a rank 3 Coxeter group to the rank 2 symplectic reflection algebra for a corresponding finite subgroup of SL2.
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RATIONAL POINTS ON SOME FAMILIES OF ELLIPTIC CURVES
… curves given by y^2=x^3-x+m^2, which has rank 2 when regarded as an elliptic curve over Q(m). (Here Q represents the field of rational numbers.) Brown and Myers show that a certain quadratic polynomial m(t) has the property that E_m(t) contains an additional rational point that is …
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Standing by the standards: military rank and social status in the Roman west from Augustus to Diocletian
… lives of military personnel according to their rank; 2) the tensions and benefits resulting from the social heterogeneity of those accorded the same military rank; 3) the importance, or perceived importance, of the military factor in the status and reception of the soldier or veteran within …
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The Minimum Rank Problem Over Finite Fields
… forbidden subgraph for the graphs having minimum rank at most 3 over the finite field of order 2. We also list all 62 such minimal forbidden subgraphs and show that many of these are minimal forbidden subgraphs for any field. Our second main result is a structural characterization of all graphs …
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Entangled qubit pairs
… states, the generalized for Werner states and rank-2 states. • The technique of the rank-2 case is employed to study the case of rank-3 and the full rank, where we obtain all possible decompositions. Among them, we choose the one which has the largest splitting parameter. In this situation a …