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- W2521288653 abstract "We study the HNN extension of $mathbb{Z}^m$ given by the cubing endomorphism $gmapsto g^3$, and prove that such groups have rational horocyclic growth. To do so, we describe a method of computing the subgroup growth series of the horocyclic subgroup $mathbb{Z}^m$ in this family of examples, prove that for all $m$ the subgroup has rational growth. In the appendix, the subgroup growth series has been computed for all $m leq 10$." @default.
- W2521288653 created "2016-09-30" @default.
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- W2521288653 date "2016-05-04" @default.
- W2521288653 modified "2023-09-27" @default.
- W2521288653 title "Horocyclic growth in higher Baumslag-Solitar groups" @default.
- W2521288653 hasPublicationYear "2016" @default.
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