A remark on pattern problems for matrix groups
✍ Scribed by Nguyêñ Quôć Thǎńg
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 81 KB
- Volume
- 292
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
We discuss pattern problems for matrix groups and solve one of such problems for a class of nilpotent groups.
📜 SIMILAR VOLUMES
The rigidity of a matrix is defined to be the number of entries in the matrix that have to be changed in order to reduce its rank below a certain value. Using a simple combinatorial lemma, we show that one must alter at least c( n\*/r) log( n/r) entries of an (n x n)-Cauchy matrix to reduce its rank
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