PRODUCTS OF INVOLUTIONS IN THE VERSHIK-KEROV GROUP
DOI:
https://doi.org/10.54607/hcmue.js.22.10.4764(2025)Abstract
Let be an arbitrary field. Denote by the group of all infinite matrices of the form where is an matrix with determinant for some positive integer , and is an infinite upper triangular matrix with all diagonal entries equal to . In this paper, we prove that every matrix in can be expressed as the product of at most four commutators. This result provides a solution to Problem 8 in Nguyen (2024).Downloads
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References
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