We study the parity of the number of irreducible factors of trinomials over Galois fields of characteristic 2. As a consequence, some sufficient conditions for a trinomial being reducible are obtained. For example, x n ฯฉ ax k ฯฉ b สฆ GF(2 t )[x] is reducible if both n, t are even, except possibly when
โฆ LIBER โฆ
Constructions of Fischer's Baby Monster over Fields of Characteristic Not 2
โ Scribed by Richard A. Parker; Robert A. Wilson
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 77 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we describe the computer construction of the representations of Fischer's Baby Monster simple group in 4371 dimensions over fields of 3 and 5 elements. As applications we construct representations for the Thompson group which will assist in determining much of the 3-modular and 5-modular character tables.
๐ SIMILAR VOLUMES
Factorization of Trinomials over Galois
โ
Uzi Vishne
๐
Article
๐
1997
๐
Elsevier Science
๐
English
โ 200 KB
Supersingular Curves of Genus 2 over Fin
โ
Gerard Van Der Geer; Marcel Van Der Vlugt
๐
Article
๐
1992
๐
John Wiley and Sons
๐
English
โ 396 KB
Classification of Quadratic Forms over S
โ
Mohamed Abdou Elomary; Jean-Pierre Tignol
๐
Article
๐
2001
๐
Elsevier Science
๐
English
โ 188 KB
Quadratic forms over division algebras over local or global fields of characteristic 2 are classified by an invariant derived from the Clifford algebra construction.
Order counting of elliptic curves define
โ
Tetsuya Izu; Jun Kogure; Masayuki Noro; Kazuhiro Yokoyama
๐
Article
๐
2001
๐
John Wiley and Sons
๐
English
โ 168 KB