منابع مشابه
Elementary Properties of Power Series Fields over Finite Fields
In spite of the analogies between Qp and Fp((t)) which became evident through the work of Ax and Kochen, an adaptation of the complete recursive axiom system given by them for Qp to the case of Fp((t)) does not render a complete axiom system. We show the independence of elementary properties which express the action of additive polynomials as maps on Fp((t)). We formulate an elementary property...
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Linear finite transducers underlie a series of schemes for Public Key Criptography (PKC) proposed in the 90s of the last century. The uninspiring and arid language then used, condemned these works to oblivion. Although some of these schemes were, after, shown to be insecure, the promise of a new system of PKC relying in different complexity assumptions is still quite exciting. The algorithms th...
متن کاملPower Series Coefficients for Probabilities in Finite Classical Groups
It is shown that a wide range of probabilities and limiting probabilities in finite classical groups have integral coefficients when expanded as a power series in q. Moreover it is proved that the coefficients of the limiting probabilities in the general linear and unitary cases are equal modulo 2. The rate of stabilization of the finite dimensional coefficients as the dimension increases is di...
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We compute the cogrowth series for Baumslag-Solitar groups BS(N,N) = 〈a, b|aN b = baN 〉, which we show to be D-finite. It follows that their cogrowth rates are algebraic numbers.
متن کاملTitle: Power series coefficients for probabilities in finite classical groups Running head: Power series coefficients for probabilities
It is shown that a wide range of probabilities and limiting probabilities in finite classical groups have integral coefficients when expanded as a power series in q−1. Moreover it is proved that the coefficients of the limiting probabilities in the general linear and unitary cases are equal modulo 2. The rate of stabilization of the finite dimensional coefficients as the dimension increases is ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1989
ISSN: 0021-8693
DOI: 10.1016/0021-8693(89)90222-6