Порождение группы SL6(Z + iZ) тремя инволюциями

It is proved that the group SL6(Z + iZ) is generated by three involutions. Previously, the solution of the problem on the existence of generating triples of involutions two of which commute was completed for the groups SLn(Z+iZ) and PSLn(Z+iZ) (Math. notes, 115 (2024), no. 3). The question of 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 Power Generation Technologies
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article
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article

Порождение группы SL6(Z + iZ) тремя инволюциями

SibFU Digital Repository (Siberian Federal University)
Advanced Power Generation Technologies
article

Порождение группы SL6(Z + iZ) тремя инволюциями

article en

Abstract

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

SibFU Digital Repository (Siberian Federal University)
Openalex Percentile: Top 56%
Advanced Power Generation Technologies
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Порождение группы SL6(Z + iZ) тремя инволюциями · SibFU Digital Repository (Siberian Federal University) (2024) | TGRS Research Map | TGRS