Geodesic
An enumeration of flags in finite vector spaces
C. Ryan Vinroot1
1College of William and Mary
The electronic journal of combinatorics, Tome 19 (2012) no. 3
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By counting flags in finite vector spaces, we obtain a $q$-multinomial analog of a recursion for $q$-binomial coefficients proved by Nijenhuis, Solow, and Wilf. We use the identity to give a combinatorial proof of a known recurrence for the generalized Galois numbers.
DOI : 10.37236/2481
Classification : 05A15, 05A19, 05A30
Mots-clés : \(q\)-multinomial coefficients, generalized Galois numbers

C. Ryan Vinroot  1

1 College of William and Mary 
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C. Ryan Vinroot. An enumeration of flags in finite vector spaces. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2481

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