On Generation of the Group $PGL_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions, Two of which Commute

The results of the paper relate to the following general problem. Find natural finite generating  sets of elements of a given linear group over a finitely generated commutative ring. Of particular interest are coefficient rings that are generated by a single element, for example, the ring of integer...

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Bibliographic Details

Published in:	Известия Иркутского государственного университета: Серия "Математика"
Main Authors:	Ya.N. Nuzhin, T. B. Shaipova
Format:	Article
Language:	English
Published:	Irkutsk State University 2024-12-01
Subjects:	projective general linear group the ring of gaussian integers generating triples of involutions
Online Access:	https://mathizv.isu.ru/en/article/file?id=1515