Nonnegativity results for generalized q-binomial coefficients
Resource type
Author/contributor
- Fishel, S. (Author)
Title
Nonnegativity results for generalized q-binomial coefficients
Abstract
Let q be a prime number. The number of subgroups of order qk in an abelian group G of order qn and type λ is a polynomial in q, [kλ′]q. In 1987, Lynne Butler showed that the first difference, [kλ′] - [k - 1λ′], has nonnegative coefficients as a polynomial in q, when 2k ≤ |λ|. We generalize the first difference to the rth difference, and give conditions for the nonnegativity of its coefficients. © 1995.
Publication
Discrete Mathematics
Date
1995
Volume
147
Issue
1-3
Pages
121-137
Journal Abbr
Discrete Math
Citation Key
fishelNonnegativityResultsGeneralized1995
ISSN
0012365X (ISSN)
Archive
Scopus
Language
English
Extra
1 citations (Crossref) [2023-10-31]
Citation
Fishel, S. (1995). Nonnegativity results for generalized q-binomial coefficients. Discrete Mathematics, 147(1–3), 121–137. Scopus. https://doi.org/10.1016/0012-365X(94)00231-7
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