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arxiv.org arXiv
arxiv.org › abs › 2304.00532v2
From actions of an abelian group on itself to left braces
We present a construction of left braces of right nilpotency class at most two based on suitable actions of an abelian group on itself with an invariance condition. This construction allows us to reco...
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arxiv.org arXiv
arxiv.org › abs › 2303.02785v1
This Week's Finds in Mathematical Physics (101-150)
These are the third 50 issues of This Week's Finds of Mathematical Physics, from April 9, 1997 to June 18, 2000. These issues discuss quantum gravity, topological quantum field theory, n-categories an...
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Inscreva-se para o Tiny Class sobre Primeiros passos no Tiny
Antes de agendar, confira a programação dos temas da Mentoria de Implementação: • Segunda-feira: navegação no sistema, ajuda da Olist, configurações de integrações • Terça-feira: cadast...
arxiv.org arXiv
arxiv.org › abs › 1912.11889v2
Skew braces of size $p^2q$
In this paper we enumerate the skew braces of size $p^2q$ for $p,q$ odd primes by the classification of regular subgroups of the holomorph of the groups of size $p^2q$. In particular, we provide expli...
arxiv.org arXiv
arxiv.org › abs › 2208.03490v2
Left seminear-rings, groups semidirect products and left cancellative left semi-braces
We study some relations between left cancellative left semi-braces and other existing algebraic structures. In particular, we show that every left semi-brace arises from a left seminear-ring, extendin...
arxiv.org arXiv
arxiv.org › abs › 2005.05809v3
Skew left braces and isomorphism problems for Hopf-Galois structures on Galois extensions
Given a finite group $ G $, we study certain regular subgroups of the group of permutations of $ G $, which occur in the classification theories of two types of algebraic objects: skew left braces wit...
arxiv.org arXiv
arxiv.org › abs › 2004.04291v4
Skew braces of size $p^2q$ I: abelian type
This is the first part of a series of two articles. In this paper we enumerate and classify the left braces of size $p^2q$ where $p$ and $q$ are distinct prime numbers by the classification of regular...
arxiv.org arXiv
arxiv.org › abs › 2101.10379v3
2-generated axial algebras of Monster type $(2β, β)$
In this paper we prove that $2$-generated primitive axial algebras of Monster type $(2β, β)$ over a ring $R$ in which $2$ and $β$ are invertible can be generated as $R$-module by $8$ vectors. We th...
arxiv.org arXiv
arxiv.org › abs › 2004.04232v3
Skew braces of size $p^2q$ II: non-abelian type
In this paper we enumerate the skew braces of non-abelian type of size $p^2q$ for $p,q$ primes with $q>2$ by the classification of regular subgroups of the holomorph of the non-abelian groups of the s...
arxiv.org arXiv
arxiv.org › abs › math › 0605485v4
Evidence in favor of the Baez-Duarte criterion for the Riemann Hypothesis
We present formulae allowing calculation of numerical values of the numbers $c_k$ appearing in the Baez-Duarte criterion for the Riemann Hypothesis for arbitrary large $k$. We present plots of $c_k$ f...
arxiv.org arXiv
arxiv.org › abs › q-alg › 9702014v1
Higher-Dimensional Algebra III: n-Categories and the Algebra of Opetopes
We give a definition of weak n-categories based on the theory of operads. We work with operads having an arbitrary set S of types, or `S-operads', and given such an operad O, we denote its set of oper...