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Algebra i Analiz, 2003, Volume 15, Issue 4, Pages 72–114 (Mi aa801)  

This article is cited in 38 scientific papers (total in 38 papers)

Research Papers

Overgroups of elementary symplectic groups

N. A. Vavilov, V. A. Petrov

Saint-Petersburg State University

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St. Petersburg Mathematical Journal, 2004, 15:4, 515–543

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Received: 18.02.2003

Citation: N. A. Vavilov, V. A. Petrov, “Overgroups of elementary symplectic groups”, Algebra i Analiz, 15:4 (2003), 72–114; St. Petersburg Math. J., 15:4 (2004), 515–543

Citation in format AMSBIB
\by N.~A.~Vavilov, V.~A.~Petrov
\paper Overgroups of elementary symplectic groups
\jour Algebra i Analiz
\yr 2003
\vol 15
\issue 4
\pages 72--114
\jour St. Petersburg Math. J.
\yr 2004
\vol 15
\issue 4
\pages 515--543

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    This publication is cited in the following articles:
    1. Petrov V., “Overgroups of unitary groups”, $K$-Theory, 29:3 (2003), 147–174  crossref  mathscinet  zmath  isi  scopus
    2. A. Yu. Luzgarev, “On overgroups of $\mathrm{E}(\mathrm{E}_6,R)$ and $\mathrm{E}(\mathrm{E}_7,R)$ in their minimal representations”, J. Math. Sci. (N. Y.), 134:6 (2006), 2558–2571  mathnet  crossref  mathscinet  zmath
    3. “Overgroups of classical groups in linear group over Banach algebras”, J. Algebra, 304:2 (2006), 1004–1013  crossref  mathscinet  zmath  isi  elib  scopus
    4. You Hong, “Overgroups of classical groups over commutative rings in linear group”, Sci. China Ser. A, 49:5 (2006), 626–638  crossref  mathscinet  zmath  isi  elib  scopus
    5. N. A. Vavilov, “Subgroups of $\operatorname{SL}_n$ over a semilocal ring”, J. Math. Sci. (N. Y.), 147:5 (2007), 6995–7004  mathnet  crossref  mathscinet  elib  elib
    6. N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(n,R)$”, St. Petersburg Math. J., 19:2 (2008), 167–195  mathnet  crossref  mathscinet  zmath  isi  elib
    7. N. A. Vavilov, A. Yu. Luzgarev, “The normalizer of Chevalley groups of type $\mathrm{E}_6$”, St. Petersburg Math. J., 19:5 (2008), 699–718  mathnet  crossref  mathscinet  zmath  isi
    8. N. A. Vavilov, “On subgroups of symplectic group containing a subsystem subgroup”, J. Math. Sci. (N. Y.), 151:3 (2008), 2937–2948  mathnet  crossref  mathscinet  elib  elib
    9. Vavilov N., “An $A_3$-proof of structure theorems for Chevalley groups of types $E_6$ and $E_7$”, Internat. J. Algebra Comput., 17:5-6 (2007), 1283–1298  crossref  mathscinet  zmath  isi  elib
    10. A. Yu. Luzgarev, “Overgroups of $\mathrm{F}_4$ in $\mathrm{E}_6$ over commutative rings”, St. Petersburg Math. J., 20:6 (2009), 955–981  mathnet  crossref  mathscinet  zmath  isi
    11. Xing Tao Wang, Cheng Shao Hong, “Overgroups of the elementary unitary group in linear group over commutative rings”, J. Algebra, 320:3 (2008), 1255–1260  crossref  mathscinet  zmath  isi
    12. Vavilov N.A., Stepanov A.V., “Nadgruppy poluprostykh grupp”, Vestn. Samarskogo gos. un-ta. Estestvennonauchn. ser., 2008, no. 3, 51–95  mathscinet  zmath
    13. A. S. Ananievskiy, N. A. Vavilov, S. S. Sinchuk, “Overgroups of $E(m,R)\otimes E(n,R)$”, J. Math. Sci. (N. Y.), 161:4 (2009), 461–473  mathnet  crossref  elib
    14. Hazrat R., Vavilov N., “Bak's work on the $K$-theory of rings”, J. K-Theory, 4:1 (2009), 1–65  crossref  mathscinet  zmath  isi  elib  scopus
    15. E. I. Bunina, “Automorphisms of Chevalley groups of type $B_l$ over local rings with 1/2”, J. Math. Sci., 169:5 (2010), 557–588  mathnet  crossref  mathscinet  elib  elib
    16. E. I. Bunina, “Automorphisms of Chevalley groups of types $A_l$, $D_l$, $E_l$ over local rings without 1/2”, J. Math. Sci., 169:5 (2010), 589–613  mathnet  crossref  mathscinet  elib  elib
    17. A. V. Alexandrov, N. A. Vavilov, “Parabolic subgroups of $\mathrm{SL}_n$ and $\mathrm{Sp}_{2l}$ over a Dedekind ring of arithmetic type”, J. Math. Sci. (N. Y.), 171:3 (2010), 307–316  mathnet  crossref
    18. N. A. Vavilov, V. G. Kazakevich, “More variations on decomposition of transvections”, J. Math. Sci. (N. Y.), 171:3 (2010), 322–330  mathnet  crossref
    19. J. Math. Sci. (N. Y.), 179:6 (2011), 662–678  mathnet  crossref
    20. A. S. Ananyevskiy, N. A. Vavilov, S. S. Sinchuk, “Overgroups of $E(m,R)\otimes E(n,R)$. I”, St. Petersburg Math. J., 23:5 (2012), 819–849  mathnet  crossref  mathscinet  isi  elib  elib
    21. N. A. Vavilov, A. V. Stepanov, “Linear groups over general rings. I. Generalities”, J. Math. Sci. (N. Y.), 188:5 (2013), 490–550  mathnet  crossref  mathscinet
    22. Bashkirov E.L., “Linear groups of degree four containing the subgroup $\mathrm{SL}_2(k)\otimes\mathrm{SL}_2(k)$”, J. Pure Appl. Algebra, 215:7 (2011), 1688–1701  crossref  mathscinet  zmath  isi  elib  scopus
    23. Bakulin S.V., Vavilov N.A., “O podgruppakh, normalizuemykh $\mathrm{EO}(2L,R)$”, Vestn. Sankt-Peterburgskogo un-ta. Ser. 1. Matem. Mekh. Astronom., 2011, no. 4, 19–27  mathscinet  zmath  elib
    24. Stepanov A., “Subring Subgroups in Chevalley Groups with Doubly Laced Root Systems”, J. Algebra, 362 (2012), 12–29  crossref  mathscinet  zmath  isi  elib  scopus
    25. N. A. Vavilov, A. V. Shchegolev, “Overgroups of subsystem subgroups in exceptional groups: levels”, J. Math. Sci. (N. Y.), 192:2 (2013), 164–195  mathnet  crossref  mathscinet
    26. Hazrat R. Vavilov N. Zhang Z., “Relative Commutator Calculus in Chevalley Groups”, J. Algebra, 385 (2013), 262–293  crossref  mathscinet  zmath  isi  elib  scopus
    27. J. Math. Sci. (N. Y.), 200:6 (2014), 742–768  mathnet  crossref
    28. Bashkirov E.L., Gupta C.K., “Linear Groups Over Integral Extensions of Semilocal Commutative Rings”, Commun. Algebr., 42:10 (2014), 4149–4171  crossref  mathscinet  zmath  isi  elib  scopus
    29. N. A. Vavilov, A. Yu. Luzgarev, “Normaliser of the Chevalley group of type $\mathrm E_7$”, St. Petersburg Math. J., 27:6 (2016), 899–921  mathnet  crossref  mathscinet  isi  elib
    30. E. Yu. Voronetsky, “Normality of elementary subgroup in $\operatorname{Sp}(2,A)$”, J. Math. Sci. (N. Y.), 222:4 (2017), 386–393  mathnet  crossref  mathscinet
    31. J. Math. Sci. (N. Y.), 222:4 (2017), 466–515  mathnet  crossref  mathscinet
    32. E. Yu. Voronetsky, “Normalizers of elementary overgroups of $\mathrm{Ep}(2,A)$”, J. Math. Sci. (N. Y.), 232:5 (2018), 610–621  mathnet  crossref  mathscinet
    33. J. Math. Sci. (N. Y.), 234:2 (2018), 197–202  mathnet  crossref
    34. R. A. Lubkov, I. I. Nekrasov, “Explicit equations for exterior square of the general linear group”, J. Math. Sci. (N. Y.), 243:4 (2019), 583–594  mathnet  crossref
    35. E. Yu. Voronetsky, “Groups normalized by the odd unitary group”, St. Petersburg Math. J., 31:6 (2020), 939–967  mathnet  crossref  isi  elib
    36. R. Lubkov, A. Stepanov, “Subgroups of Chevalley groups over rings”, Voprosy teorii predstavlenii algebr i grupp. 35, Zap. nauchn. sem. POMI, 484, POMI, SPb., 2019, 121–137  mathnet
    37. N. A. Vavilov, Z. Zhang, “Relative centralisers of relative subgroups”, Voprosy teorii predstavlenii algebr i grupp. 35, Zap. nauchn. sem. POMI, 492, POMI, SPb., 2020, 10–24  mathnet
    38. P. B. Gvozdevskii, “Nadgruppy podsistemnykh podgrupp v isklyuchitelnykh gruppakh: neidealnye urovni”, Algebra i analiz, 33:6 (2021), 9–48  mathnet
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