Commun. Korean Math. Soc. 2024; 39(2): 279-302
Online first article April 23, 2024 Printed April 30, 2024
https://doi.org/10.4134/CKMS.c230058
Copyright © The Korean Mathematical Society.
Nguyen Thi Thai Ha
University of Transport and Communications
In this paper, we summarise and present results on involution lengths and commutator lengths of certain linear groups such as special linear groups, projective linear groups, upper triangle matrix groups and Vershik-Kerov groups. Some open problems motivated by these results are also proposed.
Keywords: Matrix decomposition, linear groups, involution length, commutator length
MSC numbers: Primary 15A23, 15B33, 15B36, 15B99
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