Results 11 to 20 of about 494,087 (171)
Growth of Primitive Elements in Free Groups [PDF]
Journal of the London Mathematical Society, 2014 In the free group $F_k$, an element is said to be primitive if it belongs to a free generating set. In this paper, we describe what a generic primitive element looks like.
Puder, Doron, Wu, Conan
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Generalizations of the primitive element theorem
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we generalize the primitive element theorem to the generation of separable algebras over fields and rings. We prove that any finitely generated separable algebra over an infinite field is generated by two elements and if the algebra is ...
Christos Nikolopoulos +1 more
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Primitive elements of the Hopf algebras of tableaux [PDF]
European Journal of Combinatorics, 2021 10 pages, 2 ...
Malvenuto C., Reutenauer C.
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Primitive elements with prescribed traces
Finite Fields and Their Applications, 2022 13 pages; revised ...
Booker, Andrew R +3 more
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Super-primitive elements [PDF]
Pacific Journal of Mathematics, 1983 Given an extension, R C Γ, of commutative integral domains with identity, we say an element u E T is super-primitive over R, if u is the root of a polynomial/ E R[x] with cR(f)~ι = R, i.e., a super-primitive polynomial. The main purpose of this paper is to provide "super-primitive" analogues to some work of Gilmer-Hoffma nn and Dobbs concerning ...
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Counting Primitive Elements in Free Groups [PDF]
Geometriae Dedicata, 2001 Primitive elements in free groups are those elements that can be part of a free basis of the group. The purpose of this paper is to study the distribution of the primitive elements inside of a free group. The way for doing this is to relate them to the concentric balls of elements.
José Burillo, Enric Ventura
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Optimal primitive sets with restricted primes [PDF]
, 2013 A set of natural numbers is primitive if no element of the set divides another. Erd\H{o}s conjectured that if S is any primitive set, then \sum_{n\in S} 1/(n log n) \le \sum_{n\in \P} 1/(p log p), where \P denotes the set of primes.
Banks, William D., Martin, Greg
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The Sum of a Finite Group of Weights of a Hopf Algebra
Axioms, 2012 Motivated by the orthogonality relations for irreducible characters of a finite group, we evaluate the sum of a finite group of linear characters of a Hopf algebra, at all grouplike and skew-primitive elements.
Apoorva Khare
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Normal Coordinates and Primitive Elements in the Hopf Algebra of Renormalization [PDF]
, 2001 We introduce normal coordinates on the infinite dimensional group $G$ introduced by Connes and Kreimer in their analysis of the Hopf algebra of rooted trees.
Chryssomalakos, C. +3 more
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Entangled Religions - Interdisciplinary Journal for the Study of Religious Contact and Transfer, 2020 Pierre-Louis Moreau de Maupertuis’ famous scientific expedition to Lapland (1736-1737) had a considerable impact on Enlightenment thought, but not only due to its groundbreaking results in the fields of geodesy and physics.
Knut Martin Stünkel
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