Email this article Normality of the Elementary Subgroup in Sp(2, A)
- Authors: Voronetsky E.Y.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 222, No 4 (2017)
- Pages: 386-393
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239212
- DOI: https://doi.org/10.1007/s10958-017-3309-4
- ID: 239212
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Abstract
Let A be an associative ring with identity and involution, and let e1, . . . , en be a full system of Hermitian idempotents in A such that every ei generates A as a two-sided ideal. It is proved that the elementary subgroup is normal in Sp(2, A) if n ≥ 3 and A satisfies an analog of the local stable rank condition. Bibliography: 16 titles.
About the authors
E. Yu. Voronetsky
St.Petersburg State University
Author for correspondence.
Email: VoronetckiiEgor@yandex.ru
Russian Federation, St.Petersburg
