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The subnormal subgroup structure of the infinite symplectic group

Published online by Cambridge University Press:  20 January 2009

David G. Arrell
David G. Arrell
Affiliation:
School of Mathematics and Computing, Leeds Polytechnic, Leeds LS1 3HE
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Let R be a ring with identity and let Ω be a totally ordered set. Let Ω′ be a totally ordered set which is disjoint from and equipotent to Ω′ with ′:Ω→Ω′ an order preserving bijection. Define Ω1=Ω∪Ω′ and let Ω1, be totally ordered by inheriting the order from Ω and Ω′ and with ω<λ for all ω∈Ω and λ′∈Ω′. Let M be the free R-module R(Ω1).(We define the alternate bilinear form (*, *) on M by

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , Issue 3 , October 1982 , pp. 209 - 216
Copyright
Copyright © Edinburgh Mathematical Society 1982

References

REFERENCES

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