Almost Engel compact groups

Almost Engel finite and profinite groups

Almost commuting elements in compact Lie groups

Computing with 4-engel Groups

We have proved that 4-Engel groups are locally nilpotent. The proof is based upon detailed computations by both hand and machine. Here we elaborate on explicit computer calculations which provided some of the motivation behind the proof. In particular we give details on the hardest coset enumerations now required to show in a direct proof that 4-Engel p-groups are locally finite for 5 ≤ p ≤ 31....

Robert Fitzgerald Morse: Solvable Engel Groups 1 Solvable Engel Groups with Nilpotent Normal Closures

In this paper we investigate certain solvable (n+1)-Engel groups and bounded left Engel groups. We show that these (n + 1)-Engel groups can be characterized as those groups in which the normal closure of each element in the group is nilpotent of class at most n. Similarly, the bounded left Engel groups investigated can be characterized as those groups in which the normal closure of each element...

Almost Unimodular Systems on Compact Groups with Disjoint Spectra

We emulate the Rademacher functions on any non-commutative compact group requiring the resulting system to have pairwise disjoint spectra. Introduction Let G be a compact topological group with normalized Haar measure μ and dual object Ĝ. Let π : G → U(Hπ) be an irreducible unitary representation of G. Then, given an integrable function f : G → C, the Fourier coefficient of f at π is defined as...