The topology of algebra: Combinatorics of squaring

DOI10.1023/A:1026080516131zbMath1040.05015OpenAlexW97796075MaRDI QIDQ1434033

Vladimir I. Arnold

Publication date: 1 July 2004

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026080516131

zbMATH Keywords

treeattractorpermutationYoung diagramEuler functionquadratic residuesgeometric seriesFermat's little theorem

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other combinatorial number theory (11B75)

Related Items (10)

A formula for the spectra of differential operators on graphs ⋮ Trajectories in random monads ⋮ Generalizations of Arnold's version of Euler's theorem for matrices ⋮ Moments and distributions of trajectories in slow random monads ⋮ Local smooth conjugations of Frobenius endomorphisms ⋮ Phase transitions in the dynamics of slow random monads ⋮ Arithmetics of the numbers of orbits of the Fermat-Euler dynamical systems ⋮ On matrix analogs of Fermat's little theorem ⋮ On congruences for the traces of powers of some matrices ⋮ A five-element transformation monoid on labelled trees

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