A. E. Brouwer has shown that the universal embedding of the Sp 2n (2) dual polar space has dimension at least (2 n +1)(2 n&1 +1)ร3 and has conjectured equality. The present paper settles this conjecture in the affirmative by proving a theorem about permutation modules for GL n (2) which implies the
The universal embedding dimension of the binary symplectic dual polar space
โ Scribed by A. Blokhuis; A.E. Brouwer
- Book ID
- 108315799
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 104 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0012-365X
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A. E. Brouwer has shown that the universal embedding of the U 2n (2) dual polar space has dimension at least (4 n +2)/3 and has conjectured equality. The present paper proves this conjecture by establishing a related result about permutation modules for GL n (4). The method is the same used in the a
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