May 9, 2024Open Access

Bounded Generation of Submonoids of Heisenberg Groups

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Resumen

If G is a nilpotent group and G, G has Hirsch length 1, then every f. g. submonoid of G is boundedly generated, i. e. a product of cyclic submonoids. Using a reduction of Bodart, this implies the decidability of the submonoid membership problem for nilpotent groups G where G, G has Hirsch length 2.

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Cite This Study

Doron Shafrir (Thu,) studied this question.

synapsesocial.com/papers/68e6aec4b6db643587630f36 https://doi.org/https://doi.org/10.48550/arxiv.2405.05939

Also Consider

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1Sections of Submonoids of Nilpotent Groups2024
2Is decidability of the Submonoid Membership Problem closed under finite extensions?2024
3On decidability of the product of subgroups membership problem for nilpotent groups2024
4Bounded subgroups of relatively finitely presented groups2024
5A saturation theorem for submonoids of nilpotent groups and the Identity Problem2024

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