1 results
On (2, 3, 7)-generation of maximal parabolic subgroups
- Part of
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- Journal:
- Journal of the Australian Mathematical Society / Volume 71 / Issue 2 / October 2001
- Published online by Cambridge University Press:
- 09 April 2009, pp. 187-200
- Print publication:
- October 2001
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- Article
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Let R be a ring with 1 and En (R) be the subgroup of GLn(R) generated by the matrices I + reij, r ∈ R, i ≠ j. We prove that the subgroup
of 
consisting of the matrices of shape 
, where 
and 
, is (2, 3, 7)-generated whenever R is finitely generated and n, 
are large enough.
of 
consisting of the matrices of shape 
, where 
and 
, is (2, 3, 7)-generated whenever 
are large enough.