• Corpus ID: 221112296

# An adjacent Hindman theorem for uncountable groups

@article{Carlucci2020AnAH,
title={An adjacent Hindman theorem for uncountable groups},
author={Lorenzo Carlucci and David J. Fern{\'a}ndez-Bret{\'o}n},
journal={arXiv: Combinatorics},
year={2020}
}
• Published 13 August 2020
• Mathematics
• arXiv: Combinatorics
Results of Hindman, Leader and Strauss and of the second author and Rinot showed that some natural analogs of Hindman's theorem fail for all uncountable cardinals. Results in the positive direction were obtained by Komjath, the first author, and the second author and Lee, who showed that there are arbitrarily large abelian groups satisfying some Hindman-type property. Inspired by an analog result studied by the first author in the countable setting, in this note we prove a new variant of…

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