We study complexity problems involving three sorts of combinational structures: cyclic orders, order varieties and cycles. It is known that the problem of ...
Apr 27, 2012 · Abstract. We study complexity problems involving three sorts of combinational structures: cyclic orders, order vari- eties and cycles.
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We study complexity problems involving three sorts of combinational structures: cyclic orders, order varieties and cycles. It is known that the problem of ...
Mar 26, 2017 · An old qual problem asks us to Show that for every positive integer n, there exists a cyclic extension of Q of degree n which is contained in R.
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Dec 30, 2015 · An extension field F of a field K is said to be cyclic (respectively, abelian) if F is algebraic and Galois over K and AutK(F) is a cyclic ( ...
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In mathematics, a cyclic order is a way to arrange a set of objects in a circle. Unlike most structures in order theory, a cyclic order is not modeled as a ...
Kęstutis Česnavičius proved that for an abelian variety A over a global field K, the p-Selmer group Selp(A/L) grows unboundedly when L ranges over the (Z/pZ)- ...
The theory of cyclic extensions of the field K when the characteristic of K does divide n is called Artin–Schreier theory. Kummer theory is basic, for example, ...
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Remark: In this course, we will consider two kinds of fields : (i) ... Corollary: If p ∈ N is a prime, then GalQ(Q(ζp)) is a cyclic group of order p − 1.
Nov 4, 2022 · -extension is a Galois extension whose Galois group is cyclic of order ... In order to deal with all prime numbers and arbitrary abelian varieties ...