Jul 10, 2018 · Abstract page for arXiv paper 1807.03550: Conjugacy classes, characters and products of elements

N ∩ B and we denote this set by D(N). Note that D(N) is the union of D(C) where C runs over the conjugacy classes in N. Notice also that, by Corollary 3, any conjugacy class in the Jordan...

logous problem for simple algebraic groups. Note that the results do not depend on the isogeny class of the group (allowing the possibility of multiplying a class by a central element) and so we work with …

We describe the geometry of conjugation within any split subgroup H of the full isometry group G of n-dimensional Euclidean space.

Theorem 5.6. Let G be a finite group and let K be a conjugacy class of an element x ∈ G. Then Kn = D ∪ D−1 where D is a conjugacy class if and only if there exist positive integers m1 and m2 such that …

We describe the conjugacy classes of the elements of the free product of two groups and their cen-tralizers and, as a consequence, we correct the calculation of the cyclic and periodic...

Jul 15, 2025 · Abstract page for arXiv paper 2507.10882: Orders of commutators and Products of conjugacy classes in finite groups

Jul 9, 2021 · We parameterise conjugacy classes and centralisers of elements in such wreath products explicitly. For finite wreath products, our approach yields efficient algorithms for finding conjugating …

May 20, 2010 · This result and other ideas are used to solve a 1966 conjecture of Peter Neumann about the existence of elements in an irreducible linear group with small fixed space.

In Section 2 we write down a variant of the character-theoretic condition for a product of conjugacy classes to be a conjugacy class in a finite group, and then use it to give short proofs of Conjecture A …