An enumeration of flags in finite vector spaces

Vinroot, Ryan C.

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An enumeration of flags in finite vector spaces

Vinroot, Ryan C.

Abstract

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.

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2012-01-01

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Mathematics

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An_enumeration_of_flags_in_finite_vector_spaces.pdf

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Mathematics

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https://scholarworks.wm.edu/handle/internal/686

An enumeration of flags in finite vector spaces

Vinroot, Ryan C.

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