منابع مشابه
Involutions, Trace Maps, and Pseudorandom Numbers
Interesting properties of the partitions of a finite field Fq induced by the combination of involutions and trace maps are studied. The special features of involutions of the form u z , u being a fixed element of Fq, are exploited to generate pseudorandom numbers, the randomness resting on the uniform distribution of the images of zero-trace elements among the sets of non-zero trace elements of...
متن کاملBroué-Enguehard maps and Atkin-Lehner involutions
Let ` be one of the ten integers such that the sum of their divisors divide 24. For each such `, (except 15) we give a map from an algebra of polynomial invariants of some finite group to the algebra of modular forms invariant under the Atkin–Lehner group of level `. These maps are motivated and inspired by constructions of modular lattices from self-dual codes over rings. This work generalizes...
متن کاملFixed Point Free Involutions and Equivariant Maps
1. Preliminaries. We are concerned with involutions without fixed points, together with equivariant maps connecting such involutions. An involution T is a homeomorphism of period 2 of a Hausdorff space X onto itself; that is, T(x) = x for all x £ X . There is associated with an involution T on X the orbit space X/T, obtained by identifying x with T(x) for all x G Z . Denote by v\ X—+X/T the dec...
متن کاملOn Orientability and Degree of Fredholm Maps
The degree of a map between two manifolds has played important roles in various mathematical areas. Certain orientability is always required in order to make sense of the concept of degree. In the case of finite-dimensional nonorientable manifolds, this goes back to Hopf, Olum, and Steenrod, after Brouwer’s pioneering work on orientable manifolds (cf. [9] and references therein). Elworthy and T...
متن کاملFredholm Determinants, Anosov Maps and Ruelle Resonances
I show that the dynamical determinant, associated to an Anosov diffeomorphism, is the Fredholm determinant of the corresponding RuellePerron-Frobenius transfer operator acting on appropriate Banach spaces. As a consequence it follows, for example, that the zeroes of the dynamical determinant describe the eigenvalues of the transfer operator and the Ruelle resonances and that, for C∞ Anosov diff...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1971
ISSN: 0040-9383
DOI: 10.1016/0040-9383(71)90005-x