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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2023, Volume 522, Pages 46–59 (Mi znsl7335)

Another presentation of orthogonal Steinberg groups
E. Yu. Voronetsky

References

1. E. Yu. Voronetskii, Mladshaya $\mathrm{K}$-teoriya nechetnykh unitarnykh grupp, kandidatskaya dissertatsiya, SPbGU, Sankt-Peterburg, Rossiya, 2022
2. V. A. Petrov, “Nechetnye unitarnye gruppy”, Zap. nauchn. semin. POMI, 305, 2003, 195–225  mathnet
3. M. S. Tulenbaev, “Multiplikator Shura gruppy elementarnykh matrits konechnogo poryadka”, Zap. nauchn. semin. LOMI, 86 (1979), 162–169  mathnet  mathscinet  zmath
4. S. Böge, “Steinberggruppen von orthogonalen Gruppen”, J. reine angew. Math., 494 (1998), 219–236  crossref  mathscinet  zmath
5. A. Lavrenov, “Another presentation for symplectic Steinberg groups”, J. Pure Appl. Alg., 219:9 (2015), 3755–3780  crossref  mathscinet  zmath
6. A. Lavrenov, S. Sinchuk, “On centrality of even orthogonal $\mathrm{K}_2$”, J. Pure Appl. Alg., 221:5 (2017), 1134–1145  crossref  mathscinet  zmath
7. A. Lavrenov, S. Sinchuk, E. Voronetsky, Centrality of $\mathrm{K}_2$ for Chevalley groups: a pro-group approach, 2020, arXiv: 2009.03999
8. B. A. Magurn, W. van der Kallen, L. N. Vaserstein, “Absolute stable rank and Witt cancellation for noncommutative rings”, Invent. Math., 91 (1988), 525–542  crossref  mathscinet  zmath
9. S. Sinchuk, “On centrality of $\mathrm{K}_2$ for Chevalley groups of type $\mathrm{E}_l$”, J. Pure Appl. Alg., 220:2 (2016), 857–875  crossref  mathscinet  zmath
10. W. van der Kallen, “Another presentation for Steinberg groups”, Indag. Math., 80:4 (1977), 304–312  crossref  mathscinet  zmath
11. E. Voronetsky, “Centrality of $\mathrm{K}_2$-functor revisited”, J. Pure Appl. Alg., 225:4 (1065)  crossref  mathscinet
12. E. Voronetsky, Centrality of odd unitary $\mathrm{K}_2$-functor, 2020, arXiv: 2005.02926  mathscinet
13. E. Voronetsky, “Injective stability for odd unitary $\mathrm{K}_1$”, J. Group Theory, 23:5 (2020)  crossref  mathscinet  zmath
14. M. Wendt, “On homotopy invariance for homology of rank two groups”, J. Pure Appl. Alg., 216:10 (2012), 2291–2301  crossref  mathscinet  zmath


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