Galois groups of some iterated polynomials over cyclotomic extensions
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DOI: 10.1007/s00013-017-1120-6
Abstract: Let $$\varphi _p(z)=(z-1)^p+2-\zeta _p$$φp(z)=(z-1)p+2-ζp, where $$\zeta _p\in \bar{\mathbb {Q}}$$ζp∈Q¯ is a primitive pth root of unity. Building on previous work, we show that the nth iterate $$\varphi _p^n(z)$$φpn(z) has Galois group $$[C_p]^n$$[Cp]n, an iterated wreath… read more here.
Keywords: polynomials cyclotomic; galois groups; cyclotomic extensions; iterated polynomials ... See more keywords