Finite prime-field characteristic sets for planar configurations

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Constructing Prime-field Planar Configurations

An infinite class of planar configurations is constructed with distinct prime-field characteristic sets (i.e., configurations represented over a finite set of prime fields but over fields of no other characteristic). It is shown that if p is sufficiently large, then every subset of k primes between p and f(p, k) forms such a set (where f(p, k) = 2[(f-Ak3//2)Bk3/21 for constants A and B). In par...

متن کامل

Finite configurations in sparse sets

Let E ⊆ Rn be a closed set of Hausdorff dimension α. For m ≥ n, let {B1, . . . , Bk} be n× (m−n) matrices. We prove that if the system of matrices Bj is non-degenerate in a suitable sense, α is sufficiently close to n, and if E supports a probability measure obeying appropriate dimensionality and Fourier decay conditions, then for a range of m depending on n and k, the set E contains a translat...

متن کامل

Finite Special Moufang Sets of Odd Characteristic

In this paper we classify finite special Moufang sets M(U, τ ) of odd characteristic. The characteristic 2 case was handled in another paper by De Medts and the author. We prove, using elementary means that U is elementary abelian. Then we show that M(U, τ ) is the unique Moufang set whose little projective group is PSL2(|U |). The emphasis of this paper is on obtaining elementary proofs. Secti...

متن کامل

Finite Quantum Fluctuations About Static Field Configurations

We develop an unambiguous and practical method to calculate one-loop quantum corrections to the energies of classical time-independent field configurations in renormalizable field theories. We show that the standard pertur-bative renormalization procedure suffices here as well. We apply our method to a simplified model where a charged scalar couples to a neutral " Higgs " field, and compare our...

متن کامل

Essential Dimension of Finite Groups in Prime Characteristic

Let F be a eld of characteristic p > 0 and G be a smooth nite algebraic group over F . We compute the essential dimension edF (G; p) of G at p. That is, we show that edF (G; p) = { 1, if p divides |G|, and 0, otherwise.

متن کامل

ذخیره 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: Linear Algebra and its Applications

سال: 1982

ISSN: 0024-3795

DOI: 10.1016/0024-3795(82)90033-7