An enumeration of flags in finite vector spaces (Q456323)
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scientific article; zbMATH DE number 6098347
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An enumeration of flags in finite vector spaces |
scientific article; zbMATH DE number 6098347 |
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An enumeration of flags in finite vector spaces (English)
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24 October 2012
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Summary: By counting flags in finite vector spaces, we obtain a \(q\)-multinomial analog of a recursion for \(q\)-binomial coefficients proved by \textit{A. Nijenhuis}, \textit{A. E. Solow}, and \textit{H. S. Wilf} [J. Comb. Theory, Ser. A 37, 80--84 (1984; Zbl 0541.05003)]. We use the identity to give a combinatorial proof of a known recurrence for the generalized Galois numbers.
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\(q\)-multinomial coefficients
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generalized Galois numbers
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