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Roots of unity and the polynomials with coefficients in({mathbb{T}})

✍ Scribed by M. Taghavi


Book ID
105645650
Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
196 KB
Volume
21
Category
Article
ISSN
1598-5865

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On the matrices with constant determinan
✍ S. Akbari; H.-R. Fanaı̈; K. Mahmoudian πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 161 KB

Let Β΅ m be the group of mth roots of unity. In this paper it is shown that if m is a prime power, then the number of all square matrices (of any order) over Β΅ m with non-zero constant determinant or permanent is finite. If m is not a prime power, we construct an infinite family of matrices over Β΅ m