The group Sp10(ℤ) is (2,3)-generated

• Autorzy: Vadim Vasilyev , Maxim Vsemirnov
• Języki publikacji: EN

Abstrakty

EN

It is proved that the group Sp10(ℤ) is generated by an involution and an element of order 3.

Słowa kluczowe

EN

Symplectic groups; (2; 3)-generation; Symplectic transvections

Kategorie tematyczne

• 20G30: Linear algebraic groups over global fields and their integers
• 20F05: Generators, relations, and presentations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 1
• Strony: 36-49

Daty

wydano

2011-02-01

online

2010-12-30

Twórcy

autor

Vadim Vasilyev

• Russian Academy of Sciences

autor

Maxim Vsemirnov

• Russian Academy of Sciences

Bibliografia

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• [10] Vasilyev V.L., Vsemirnov M.A., On (2, 3)-generation of low-dimensional symplectic groups over the integers, Comm. Algebra, 2010, 38(9), 3469–3483 http://dx.doi.org/10.1080/00927870902933205
• [11] Vsemirnov M.A., Is the group SL(6,ℤ) (2, 3)-generated?, J. Math. Sci. (N.Y.), 2007, 140(5), 660–675 http://dx.doi.org/10.1007/s10958-007-0006-8
• [12] Vsemirnov M.A., The group GL(6,ℤ) is (2, 3)-generated, J. Group Theory, 2007, 10(4), 425–430 http://dx.doi.org/10.1515/JGT.2007.033
• [13] Vsemirnov M.A., On (2, 3)-generation of matrix groups over the ring of integers, St. Petersburg Math. J., 2008, 19(6), 883–910 http://dx.doi.org/10.1090/S1061-0022-08-01026-1
• [14] Vsemirnov M.A., On (2, 3)-generation of matrix groups over the ring of integers. II, St. Petersburg Math. J. (in press)

Identyfikatory

DOI

10.2478/s11533-010-0089-1