Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal subgroups of generalised Basilica groups   The Basilica group is a well-known 2-generated weakly branch, but not branch,
group acting on the binary rooted tree. Recently a more general form of the
Basilica group has been investigated by Petschick and Rajeev, which is an
$s$-generated weakly branch, but not branch, group that acts on the $m$-adic
tree, for $s,m > 1$. With the new developments by Francoeur, the study of the
existence of maximal subgroups of infinite index has been extended from branch
groups to weakly branch groups. Here we show that generalised Basilica groups
have maximal subgroups only of finite index.

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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph