Geodesic
Another presentation of orthogonal Steinberg groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 46-59

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We use the pro-group approach to show that $\mathrm{StO}(M, q)$ admits van der Kallen’s “another presentation”, where $M$ is a module over a commutative ring with sufficiently isotropic quadratic form $q$. Moreover, we construct an analog of ESD-transvections in orthogonal Steinberg pro-groups under some assumptions on their parameters. 
@article{ZNSL_2023_522_a2,
     author = {E. Yu. Voronetsky},
     title = {Another presentation of orthogonal {Steinberg} groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {46--59},
     publisher = {mathdoc},
     volume = {522},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_522_a2/}
}
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E. Yu. Voronetsky. Another presentation of orthogonal Steinberg groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 46-59. http://geodesic.mathdoc.fr/item/ZNSL_2023_522_a2/