Results 51 to 60 of about 709,594 (295)
n-complete crossed modules and wreath products of groups
Journal of New Results in Science, 2021 In this paper we examine the $n$-completeness of a crossed module and we show that if $X=(W_1,W_2,\partial)$ is an $n$-complete crossed module, where $W_i=A_i wr B_i$ is the wreath product of groups $A_i$ and $B_i$, then $A_i$ is at most $n$-complete ...
B. Davvaz, M.a. Dehghani
doaj
The category of generalized crossed modules [PDF]
Categories and General Algebraic Structures with Applications, 2019 In the definition of a crossed module $(T,G,rho)$, the actions of the group $T$ and $G$ on themselves are given by conjugation. In this paper, we consider these actions to be arbitrary and thus generalize the concept of ordinary crossed module. Therefore,
Mahdieh Yavari, Alireza Salemkar
doaj
Crossed Modules, Double Group-Groupoids and Crossed Squares [PDF]
, 2020 The purpose of this paper is to obtain the notion of crossed module over group-groupoids considering split extensions and prove a categorical equivalence between these types of crossed modules and double group-groupoids.
TEMEL, SEDAT +2 more
core +1 more source
Global 3-group symmetry and ’t Hooft anomalies in axion electrodynamics
Journal of High Energy Physics, 2021 We investigate a higher-group structure of massless axion electrodynamics in (3 + 1) dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure ...
Yoshimasa Hidaka +2 more
doaj +1 more source
METHODOLOGY FOR ESTIMATING LANDSLIDES SUSCEPTIBILITY USING ARTIFICIAL NEURAL NETWORKS [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2020 In this study, the susceptibility to landslides at Sevilla township, Valle del Cauca, located at southwest of Colombia was evaluated. The conditioning factors that involve the generation of landslides were evaluated using Geographic Information Systems ...
E. N. Muñoz +2 more
doaj +1 more source
Crossed modules of racks [PDF]
, 2014 We generalize the notion of a crossed module of groups to that of a crossed module of racks. We investigate the relation to categorified racks, namely strict 2-racks, and trunk-like objects in the category of racks, generalizing the relation between ...
Crans, Alissa S. +3 more
core +1 more source
The Crossed Product of Finite Hopf C*-Algebra and C*-Algebra
Mathematics, 2021 Let H be a finite Hopf C*-algebra and A a C*-algebra of finite dimension. In this paper, we focus on the crossed product A⋊H arising from the action of H on A, which is a ∗-algebra.
Xiaomin Wei, Lining Jiang, Dianlu Tian
doaj +1 more source
Irish Mathematical Society Bulletin, 1988 Crossed modules provide a very useful tool in algebraic topology, algebraic K-theory, group cohomology and combinatorial group theory. They were introduced almost 40 years ago by J. H. C. Whitehead in his work on combinatorial homotopy theory. Given this illustrious start and their proven potential, it is strange that they are not very well known to ...
openaire +2 more sources
INNOVATIONS in Pharmacy, 2021 Description of the Problem: High-stakes decision-making should have sound validation evidence; reliability is vital towards this. A short exam may not be very reliable on its own within didactic courses, and so supplementing it with quizzes might help ...
Michael Peeters +2 more
doaj +1 more source
Basic representation theory of crossed modules [PDF]
, 2018 A group corresponds to a topological space with one nontrivial homotopy group. A crossed module corresponds to a topological space with two nontrivial homotopy groups.
Truong, Monika
core +1 more source