Powers with minimal commutator length in free products of groups

Abstract

Given a free product of groups G = *j ∈ J Aj and a natural number n, what is the minimal possible commutator length of an element gn ∈ G not conjugate to elements of the free factors? We give an exhaustive answer to this question.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…