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- W3122253679 abstract "Houghton's groups $H_2, H_3, ldots$ have been studied in many contexts, and various results exist for their finite index subgroups. In this note we describe all of the finite index subgroups of each Houghton group, and their isomorphism types. Using the standard notation that $d(G)$ denotes the minimal size of generating set for $G$ we then show, for each $nin {2, 3,ldots}$ and $U$ of finite index in $H_n$, that $d(U)in{d(H_n), d(H_n)+1}$ and characterise when each of these cases occurs." @default.
- W3122253679 created "2021-02-01" @default.
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- W3122253679 date "2021-01-28" @default.
- W3122253679 modified "2023-09-27" @default.
- W3122253679 title "On the finite index subgroups of Houghton's groups" @default.
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