Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois groups of some iterated polynomials over cyclotomic extensions   Let $\varphi_p(z)=(z-1)^p+2-\zeta_p$, where $\zeta_p\in\bar{\mathbb{Q}}$ is a
primitive $p$-th root of unity for some odd prime $p$. Building on previous
work, we show that the $n$-th iterate $\varphi_p^n(z)$ has Galois group
$[C_p]^n$, an iterated wreath product of cyclic groups, whenever $p$ is not a
Wieferich prime.

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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci