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Two-Element Generation of the Integral Symplectic GroupSpn(Z)

✍ Scribed by Hiroyuki Ishibashi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
160 KB
Volume
179
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let Sp ‫ޚ‬ be the symplectic group on a hyperbolic module V of even rank n n Ž . over the rational integers ‫.ޚ‬ If n ) 2 then any element of Sp ‫ޚ‬ is a product of n Ž . finite number of involutions on V, and Sp ‫ޚ‬ is generated by two elements of n small order, one of which is an involution.

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