Article contents
Commutator length of powers in free products of groups
Published online by Cambridge University Press: 27 December 2021
Abstract
Given groups $A$ and $B$
, what is the minimal commutator length of the 2020th (for instance) power of an element $g\in A*B$
not conjugate to elements of the free factors? The exhaustive answer to this question is still unknown, but we can give an almost answer: this minimum is one of two numbers (simply depending on $A$
and $B$
). Other similar problems are also considered.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 65 , Issue 1 , February 2022 , pp. 102 - 119
- Copyright
- Copyright © The Author(s), 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society
References
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