منابع مشابه
An Extension of the Fundamental Theorem on Right-angled Triangles
{3, 4, 5} is perhaps the most famous Pythagorean Triple with interest in such triples dating back many thousands of years to the ancient people of Mesopotamia. In this article, we shall consider such triples, with the restriction that the elements of these triples must not have any common factors they are Primitive Pythagorean Triples (PPTs). In particular, we shall consider the question of how...
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The main result in this paper is as follows: Theorem. Let S be the branch curve in CP of a generic projection of a Veronese surface. Then π1(CP −S) is an extension of a solvable group by a symmetric group. A group with the property mentioned in the theorem is “almost solvable” in the sense that it contains a solvable normal subgroup of finite index. We pose the following question. Question. For...
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We associate to every algebraic number field K/Q a hyperbolic surface lamination and an external fundamental group IΓK : a generalization of the fundamental germ construction of [3], [4] that necessarily contains external (not first order definable) elements. The external fundamental group IΓQ is a split extension of the absolute Galois group ÎΓQ, that conjecturally contains a subgroup whose ab...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2016
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2016.1236936