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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

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


Author: M. A. Vsemirnov
Translated by: the author
Original publication: Algebra i Analiz, tom 19 (2007), nomer 6.
Journal: St. Petersburg Math. J. 19 (2008), 883-910
MSC (2000): Primary 20G30; Secondary 20F05, 20C12
Published electronically: August 21, 2008
MathSciNet review: 2411638
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Abstract | References | Similar Articles | Additional Information

Abstract: The groups $ \mathrm{GL}(5,\mathbb{Z})$, $ \mathrm{SL}(5,\mathbb{Z})$, $ \mathrm{SL}(6,\mathbb{Z})$, $ \mathrm{GL}(7,\mathbb{Z})$ and $ \mathrm{SL}(7,\mathbb{Z})$ are (2,3)-generated.


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Additional Information

M. A. Vsemirnov
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
Email: vsemir@pdmi.ras.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-08-01026-1
Keywords: $(2,3)$-generation, linear groups
Received by editor(s): August 10, 2007
Published electronically: August 21, 2008
Additional Notes: Supported by the RAS program of fundamental research “Modern problems of theoretical mathematics” and by the “Scientific schools” program (grant no. NSh-8464-2006-1)
Dedicated: To the centenary of D. K. Faddeev’s birth
Article copyright: © Copyright 2008 American Mathematical Society