Generation of the Group SL6(Z + iZ) by Three Involutions

It is proved that the group SL6(Z + iZ) is generated by three involutions. Previously, the
\nsolution of the problem on the existence of generating triples of involutions two of which commute was
\ncompleted for the groups SLn(Z+iZ) and PSLn(Z+iZ) (Math. notes, 115 (2024), no. 3). The question
\nof generating these groups by three involutions remained unresolved only for SL6(Z + iZ)

Publication Details

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SibFU Digital Repository (Siberian Federal University)
Published
2024-10-21
Primary Topic
Advanced Algebra and Geometry
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article
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article

Generation of the Group SL6(Z + iZ) by Three Involutions

SibFU Digital Repository (Siberian Federal University)
Advanced Algebra and Geometry
article

Generation of the Group SL6(Z + iZ) by Three Involutions

article en

Abstract

It is proved that the group SL6(Z + iZ) is generated by three involutions. Previously, the
\nsolution of the problem on the existence of generating triples of involutions two of which commute was
\ncompleted for the groups SLn(Z+iZ) and PSLn(Z+iZ) (Math. notes, 115 (2024), no. 3). The question
\nof generating these groups by three involutions remained unresolved only for SL6(Z + iZ)

SibFU Digital Repository (Siberian Federal University)
Openalex Percentile: Top 43%
Advanced Algebra and Geometry
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Generation of the Group SL6(Z + iZ) by Three Involutions · SibFU Digital Repository (Siberian Federal University) (2024) | TGRS Research Map | TGRS