Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A SURVEY OF LENGTHS OF LINEAR GROUPS WITH RESPECT TO CERTAIN GENERATING SETS

  • Nguyen Thi Thai Ha (Faculty of Mathematics and Computer Science University of Science, Vietnam National University, Campus in Ho Chi Minh City University of Transport and Communications)
  • Received : 2023.03.16
  • Accepted : 2023.09.08
  • Published : 2024.04.30
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Abstract

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.

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References

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