A Generalization of an Addition Theorem for Solvable Groups
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Publication:3344066
DOI10.4153/CJM-1984-032-xzbMath0552.10034MaRDI QIDQ3344066
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Publication date: 1984
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Density, gaps, topology (11B05) Additive bases, including sumsets (11B13)
Related Items (23)
On a conjecture of Zhuang and Gao ⋮ Extremal product-one free sequences and \(|G|\)-product-one free sequences of a metacyclic group ⋮ The Erdős-Ginzburg-Ziv theorem for finite solvable groups. ⋮ An addition theorem for finite cyclic groups ⋮ Unnamed Item ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ Bounds for counter-examples to addition theorems in solvable groups ⋮ On the structure of n-zero-sum free sequences over cyclic groups of order n ⋮ Unnamed Item ⋮ The Main Zero-Sum Constants over \({\boldsymbol{D}}\) 2n \({\boldsymbol{\times C_2}}\) ⋮ On the direct and inverse zero-sum problems over \(C_n \rtimes_s C_2\) ⋮ Cubic symmetric polynomials yielding variations of the Erdős-Ginzburg-Ziv theorem ⋮ The Erdős-Ginzburg-Ziv theorem for dihedral groups. ⋮ Long \(n\)-zero-free sequences in finite cyclic groups ⋮ Improving the Erdős-Ginzburg-Ziv theorem for some non-Abelian groups. ⋮ Addition theorems on the cyclic groups of order \(p^\ell\). ⋮ Interplay between four conjectures on certain zero-sum problems. ⋮ On the structure of \(p\)-zero-sum free sequences and its application to a variant of Erdős-Ginzburg-Ziv theorem ⋮ Sequences not containing long zero-sum subsequences ⋮ Erdős-Ginzburg-Ziv theorem for dihedral groups of large prime index. ⋮ On the number of subsequences with given sum ⋮ The Erdős-Ginzburg-Ziv theorem for finite nilpotent groups ⋮ On the invariant $\mathsf E(G)$ for groups of odd order
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