Chevalley groups of odd characteristic as quadratic pairs
نویسندگان
چکیده
منابع مشابه
MOR Cryptosystem and classical Chevalley groups in odd characteristic
In this paper we study the MOR cryptosystem with finite Chevalley groups. There are four infinite families of finite classical Chevalley groups. These are: special linear groups SL(d, q), orthogonal groups O(d, q) and symplectic groups Sp(d, q). The family O(d, q) splits to two different families of Chevalley groups depending on the parity of d. The MOR cryptosystem over SL(d, q) was studied by...
متن کاملQuadratic Reciprocity in Odd Characteristic
The answer to questions like this can be found with the quadratic reciprocity law in F[T ]. It has a strong resemblance to the quadratic reciprocity law in Z. We restrict to F with odd characteristic because when F has characteristic 2 every element of F[T ]/(π) is a square, so our basic question is silly in characteritic 2. (There is a good analogue of quadratic reciprocity in characteristic 2...
متن کاملGeneration of Pairs of Short Root Subgroups in Chevalley Groups
On the basis of the Bruhat decomposition, the subgroups generated by pairs of unipotent short root subgroups in Chevalley groups of type B , C , and F4 over an arbitrary field are described. Moreover, the orbits of a Chevalley group acting by conjugation on such pairs are classified.
متن کاملSmall degree representations of finite Chevalley groups in defining characteristic
We determine for all simple simply connected reductive linear algebraic groups defined over a finite field all irreducible representations in their defining characteristic of degree below some bound. These also give the small degree projective representations in defining characteristic for the corresponding finite simple groups. For large rank l our bound is proportional to l3 and for rank 11 m...
متن کاملCross-Correlations of Quadratic Form Sequences in Odd Characteristic
Cross-correlation functions are determined for a large class of geometric sequences based on m-sequences in odd characteristic. These sequences are shown to have low cross-correlation values in certain cases. They also have significantly higher linear spans than previously studied geometric sequences. These results show that geometric sequences are candidates for use in spread-spectrum communic...
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: Journal of Algebra
سال: 1976
ISSN: 0021-8693
DOI: 10.1016/0021-8693(76)90177-0