Bicyclic algebras of prime exponent over function fields
نویسندگان
چکیده
منابع مشابه
Towers of Function Fields over Non-prime Finite Fields
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara’s quantity A(`), for ` = p with p prime and n > 3 odd. A modular interpretation of the towers is given as well.
متن کاملStructure of finite wavelet frames over prime fields
This article presents a systematic study for structure of finite wavelet frames over prime fields. Let $p$ be a positive prime integer and $mathbb{W}_p$ be the finite wavelet group over the prime field $mathbb{Z}_p$. We study theoretical frame aspects of finite wavelet systems generated by subgroups of the finite wavelet group $mathbb{W}_p$.
متن کاملFinite Quantum Groups over Abelian Groups of Prime Exponent
– We classify pointed finite-dimensional complex Hopf algebras whose group of group-like elements is abelian of prime exponent p, p > 17. The Hopf algebras we find are members of a general family of pointed Hopf algebras we construct from Dynkin diagrams. As special cases of our construction we obtain all the Frobenius–Lusztig kernels of semisimple Lie algebras and their parabolic subalgebras. ...
متن کاملInequivalent representations of matroids over prime fields
Article history: Received 30 March 2011 Accepted 18 February 2013 Available online 15 March 2013
متن کاملRoots of Trinomials over Prime Fields
The origin of this work was the search for a “Descartes’ rule” for finite fields a nontrivial upper bound for the number of roots of sparse polynomials. In [2], Bi, Cheng, and Rojas establish such an upper bound. Then, in [3], Cheng, Gao, Rojas, and Wan show that the bound is essentially optimal in an infinite number of cases by constructing t-nomials with many roots in Fpt . However, the bound...
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: Transactions of the American Mathematical Society
سال: 2005
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-05-03772-4