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Geometric progressions in sumsets over finite fields

โœ Scribed by Omran Ahmadi; Igor E. Shparlinski


Publisher
Springer Vienna
Year
2007
Tongue
English
Weight
96 KB
Volume
152
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Large sets in finite fields are sumsets
โœ Noga Alon ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

For a prime p, a subset S of Z p is a sumset if S = A+A for some A โŠ‚ Z p . Let f (p) denote the maximum integer so that every subset S โŠ‚ Z p of size at least pf (p) is a sumset. The question of determining or estimating f (p) was raised by Green. He showed that for all sufficiently large p, f (p) 1

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