Results 11 to 20 of about 416,395 (281)
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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Primitive divisors of Lucas and Lehmer sequences [PDF]
, 1995 Stewart reduced the problem of determining all Lucas and Lehmer sequences whose $n$-th element does not have a primitive divisor to solving certain Thue equations.
Par Paul M Voutier, Paul M. Voutier
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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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Hopf and Lie algebras in semi-additive Varieties [PDF]
Logical Methods in Computer Science, 2017 We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor.
Hans-E. Porst
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On the Orbit Problem of Free Lie Algebras
Journal of New Theory, 2023 By operationalizing $F_{n}$ as a free Lie Algebra of finite rank $n$, this work considers the orbit problem for $F_{n}$. The orbit problem is the following: given an element $u\in F_{n}$ and a finitely generated subalgebra $H$ of $F_{n}$, does $H$ meet ...
Zeynep Yaptı Özkurt
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Journal of Harbin University of Science and Technology, 2019 In order to solve the problem of whether the matrices generated by two unipotent matrices are unipotency, a new combinatorial property of generators of free groups is obtained by using the matrix logarithmic tool。From the point of the combination of ...
YANG Xin-song, MA Chang
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