AbstractThe 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
A finite abelian group G is said to have the Hajós-k-property (k>1) if from any decomposition of ...
The object of the article is to show that a Jordan-Hölder class structure of a finite group determin...
Stanley and F\'eray gave a formula for the irreducible character of the symmetric group related to a...
AbstractThe Hall polynomialgλμν(p) counts subgroups of type ν and cotype μ in a finite abelianp-grou...
AbstractWe exhibit an order-preserving surjection from the lattice of subgroups of a finite abelianp...
First published in Transactions of the American Mathematical Society in volume 368 and number 4, APR...
AbstractLet H be a finite group, and let θ be an automorphism of H whose order divides n. Hall prove...
We use character polynomials to obtain a positive combinatorial interpretation of the multiplicity o...
Let H be a finite group, and let θ be an automorphism of H whose order divides n. Hall proved that t...
AbstractGeneralizing a theorem by J. E. Olson determining the Davenport's constant of a finite abeli...
Let $A_g$ be an abelian variety of dimension $g$ and $p$-rank $\lambda \leq 1$ over an algebraically...
AbstractOlson determined, for each finite abelian p-group G, the maximal length of a sequence of ele...
We prove necessary and sufficient conditions for a finite group $G$ with an ordering of $G$-extensio...
AbstractWe present a polynomiality property of the Littlewood–Richardson coefficients cλμν. The coef...
AbstractWe call m is a Hall-number for G if m is the order of a Hall subgroup of G, that is, gcd(|G|...
A finite abelian group G is said to have the Hajós-k-property (k>1) if from any decomposition of ...
The object of the article is to show that a Jordan-Hölder class structure of a finite group determin...
Stanley and F\'eray gave a formula for the irreducible character of the symmetric group related to a...
AbstractThe Hall polynomialgλμν(p) counts subgroups of type ν and cotype μ in a finite abelianp-grou...
AbstractWe exhibit an order-preserving surjection from the lattice of subgroups of a finite abelianp...
First published in Transactions of the American Mathematical Society in volume 368 and number 4, APR...
AbstractLet H be a finite group, and let θ be an automorphism of H whose order divides n. Hall prove...
We use character polynomials to obtain a positive combinatorial interpretation of the multiplicity o...
Let H be a finite group, and let θ be an automorphism of H whose order divides n. Hall proved that t...
AbstractGeneralizing a theorem by J. E. Olson determining the Davenport's constant of a finite abeli...
Let $A_g$ be an abelian variety of dimension $g$ and $p$-rank $\lambda \leq 1$ over an algebraically...
AbstractOlson determined, for each finite abelian p-group G, the maximal length of a sequence of ele...
We prove necessary and sufficient conditions for a finite group $G$ with an ordering of $G$-extensio...
AbstractWe present a polynomiality property of the Littlewood–Richardson coefficients cλμν. The coef...
AbstractWe call m is a Hall-number for G if m is the order of a Hall subgroup of G, that is, gcd(|G|...
A finite abelian group G is said to have the Hajós-k-property (k>1) if from any decomposition of ...
The object of the article is to show that a Jordan-Hölder class structure of a finite group determin...
Stanley and F\'eray gave a formula for the irreducible character of the symmetric group related to a...
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