Solvable group

Solvable group

Do Not Look Just Yet. Solutions to Odd-Numbered Exercises.

Published in Miklós Bóna, Combinatorics of Permutations, 2022

We point out that much more is known. F. Markel [251] conjectured in 1973 that S3 was the only finite solvable group that had no conjugacy classes of the same size. This conjecture stayed open for twenty years, and was then proved independently in [228] and [340]. However, it is not known at this time whether the condition that the group be solvable can be dropped.

A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages

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Journal Information

Published in Dynamical Systems, 2023

Sohail Farhangi

Let G be a finitely generated solvable group of exponential growth.2 For any partition , there exist an action of G on a probability space , , and a set with such that

A review on some classes of algebraic systems

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Journal Information

Published in International Journal of Control, 2020

Víctor Ayala, Heriberto Román-Flores

Consider the solvable not completely solvable group of the plane Euclidean motions For we obtain the linear vector field

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Do Not Look Just Yet. Solutions to Odd-Numbered Exercises.

A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages

A review on some classes of algebraic systems