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- W4387246110 abstract "AbstractIn this article, we compare the Dickson-Siegel-Eichler-Roy (DSER) elementary orthogonal group introduced by A. Roy in 1968 and the odd elementary hyperbolic unitary group introduced by V.A. Petrov in 2005. We prove that these two groups over a commutative ring with a pseudo-involution are conjugate subgroups of the general linear group.KEYWORDS: DSER elementary orthogonal groupelementary hyperbolic unitary groupESD transvectionsodd unitary grouporthogonal group2020 MATHEMATICS SUBJECT CLASSIFICATION: 19G9920H2513C1011E3911E7011E88 Additional informationFundingThe first named author thank KSCSTE Young Scientist Award Scheme (KSCSTE/1052/2021-KSYSA-RG) for the support. She would also like to thank SERB for the SURE grant (SUR/2022/004894). The second named author would like to acknowledge the support of Department of Science and Technology (DST), India for the INSPIRE fellowship (No: DST/INSPIRE Fellowship/[IF170379])." @default.
- W4387246110 created "2023-10-03" @default.
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- W4387246110 date "2023-10-02" @default.
- W4387246110 modified "2023-10-03" @default.
- W4387246110 title "Comparison of Petrov’s odd elementary hyperbolic unitary group and Dickson-Siegel-Eichler-Roy elementary orthogonal group" @default.
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- W4387246110 doi "https://doi.org/10.1080/00927872.2023.2259473" @default.
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