Elsevier

Journal of Algebra

Volume 184, Issue 2, 1 September 1996, Pages 363-371
Journal of Algebra

Regular Article
The Hall Polynomial Revisited

https://doi.org/10.1006/jabr.1996.0264Get rights and content
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Abstract

The Hall polynomialgλμν(p) counts subgroups of type ν and cotype μ in a finite abelianp-group of type λ. We derive a formula forgλμν(p), along the lines of T. Klein's original formula but much simpler, which shows that its expansion in powers ofp−1 has nonnegative coefficients.

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