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...
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: | |
Online Access: | https://mathizv.isu.ru/en/article/file?id=1410 |
Similar Items
-
Defining $\mathbb{Z}$ in $\mathbb{Q}$
by: Koenigsmann, J
Published: (2010) -
On the construction of $ \mathbb Z^n_2- $grassmannians as homogeneous $ \mathbb Z^n_2- $spaces
by: Mohammad Mohammadi, et al.
Published: (2022-01-01) -
On double cyclic codes over $ \mathbb{Z}_2+u\mathbb{Z}_2 $
by: Ismail Aydogdu
Published: (2024-03-01) -
$${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$ Z2×Z2 -graded mechanics: the classical theory
by: N. Aizawa, et al.
Published: (2020-07-01) -
Decidability of the class of all the rings $\mathbb {Z}/m\mathbb {Z}$ : A problem of Ax
by: Jamshid Derakhshan, et al.
Published: (2023-01-01)