On (2,3)-generation of matrix groups over the ring of integers, II

DOI10.1090/spmj/1674OpenAlexW2057058066MaRDI QIDQ5155638

Maxim Vsemirnov

Publication date: 8 October 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1674

zbMATH Keywords

modular groupgeneral linear groupspecial linear group\((2, 3)\)-generated groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30)

Uses Software

• Magma

Cites Work

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• Private life of \(\text{GL}(5,\mathbb{Z})\).
• On the \((2,3)\)-generation of some classical groups. I
• The Magma algebra system. I: The user language
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• THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS
• On (2,3)-generation of matrix groups over the ring of integers
• (2,3)-Generation of SL(n,q).I. cases n=5,6,7
• (2,3)-Generation of sl(n,q). II. cases n ≥ 8
• Constructive (2,3)-generation: A permutational approach
• The group GL(6,ℤ) is (2, 3)-generated
• On a question of M. Conder

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