On Generation of the Groups $SL_n(\mathbb{Z}+i\mathbb{Z})$ and $PSL_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions, Two of Which Commute

On Generation of the Groups $SL_n(\mathbb{Z}+i\mathbb{Z})$ and $PSL_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions, Two of Which Commute

M. C. Tamburini and P. Zucca proved that the special linear group of dimension greater than 13 over the ring of Gaussian integers is generated by three involutions, two of which commute (J. of Algebra, 1997). A similar result for projective special linear groups of dimension greater than 6 was estab...

Full description

Bibliographic Details
Main Authors: R. I. Gvozdev, Ya.N. Nuzhin, T. B. Shaipova
Format: Article
Language:English
Published: Irkutsk State University 2022-06-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
special and projective special linear groups
the ring of gaussian integers
generating triples of involutions
Online Access:https://mathizv.isu.ru/en/article/file?id=1410

Internet

https://mathizv.isu.ru/en/article/file?id=1410

Similar Items