Titlebook: Recent Advances in Pure and Applied Mathematics; Francisco Ortegón Gallego,Juan Ignacio García Garc Book 2020 The Editor(s) (if applicable

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On Large Orbits of Actions of Finite Soluble Groups: Applications,ant step towards the solution of Gluck’s conjecture on large character degrees of finite soluble groups. We also show how to apply them to solve questions about intersections of some conjugacy families of subgroups of finite soluble groups.

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Poisson Algebras and Graphs,ociative products are compatible via the Leibniz identity. If we consider a non-commutative Poisson algebra . of arbitrary dimension, over an arbitrary base field ., a basis . of . is called multiplicative if for any ., . ∈ . we have that . and that . for some ., . ∈ .. We associate an adequate grap

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2509-8888 as well as PhD students.This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to o

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Regularisation in Ejection-Collision Orbits of the RTBP,tion-collision orbit is introduced and numerical explorations are carried out which show a very rich dynamics when Hill regions contain both primaries. Complete details on the numerical methods and the bifurcations of the different families of orbits are given in the references.

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On the Numerical Behavior of a Chemotaxis Model with Linear Production Term,wards, for the linear production case, we construct some fully discrete finite element schemes approaching this model, for which we analyze several properties, such that: mass-conservation, positivity of the variables, existence and uniqueness of solution, unconditional energy-stability, and uniform in time energy estimates.

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978-3-030-41323-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl