๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Realization of finite groups over function fields

โœ Scribed by Moshe Jarden


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
284 KB
Volume
24
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Diophantine Undecidability over Algebrai
โœ Alexandra Shlapentokh ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 825 KB

We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t

Groups of Permutation Polynomials over F
โœ Richard M. Stafford ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 195 KB

Let F be a finite field. We apply a result of Thierry Berger (1996, Designs Codes Cryptography, 7, 215-221) to determine the structure of all groups of permutations on F generated by the permutations induced by the linear polynomials and any power map which induces a permutation on F.

Invariants of Finite Groups over Fields
โœ David R. Richman ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 578 KB

Let V denote a finite-dimensional K vector space and let G denote a finite group of K-linear automorphisms of V. Let V m denote the direct sum of m copies of V and let G act on the symmetric algebra K[V m ] of V m by the diagonal action on V m . A result of Noether implies that, if char K=0, then K[

Cyclic Matrices in Classical Groups over
โœ Peter M. Neumann; Cheryl E. Praeger ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 362 KB

to helmut wielandt for his 90th birthday with much respect and many congratulations , where m X t is its minimal polynomial and c X t is its characteristic polynomial det tI -X . This condition is equivalent to requiring the vector space F d of 1 ร— d row vectors over F to be cyclic as an F X -modul

Two-Element Generation of Orthogonal Gro
โœ H. Ishibashi; A.G. Earnest ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 294 KB

Minimal sets of generators of the orthogonal groups on nonsingular quadratic spaces over a finite field are studied. All such orthogonal groups are shown to be generated by two elements, with the possible exception of two low-dimensional cases. 1994 Academic Press, Inc.