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The q-log-concavity of q-binomial coefficients

โœ Scribed by Lynne M Butler


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
481 KB
Volume
54
Category
Article
ISSN
0097-3165

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Let q be a prime number. The number of subgroups of order qk in an abelian group G of order qn and type 2 is a polynomial in q, [ak']~. In 1987, Lynne Butler showed that the first difference, I-~,'] -[ka-'~], has nonnegative coefficients as a polynomial in q, when 2k ~< 12[. We generalize the first