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Articles

Linear groups of degree 3 over a field that contain a one-parametric group of elements with minimal polynomial (x−1)3

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Pages 4181-4193 | Received 12 Apr 2015, Accepted 02 Feb 2019, Published online: 24 Mar 2019

References

  • Artin, E. (1957). Geometric Algebra. New York: Interscience Publ.
  • Bashkirov, E. L. (1996). Linear groups that contain a root subgroup. Sib. Math. J. 37(6):1086–1100.
  • Dieudonné, J. (1971). La Géométrie Des Groupes Classiques. Berlin: Springer-Verlag.
  • McLaughlin, J. (1967). Some groups generated by transvections. Arch. Math. 18(4):364–368.
  • Mitchell, H. H. (1911). Determination of the ordinary and modular ternary linear groups. Trans. Amer. Math. Soc. 12(2):207–242.
  • Shang Zhi, L. (1990). Overgroups of SU(n,K,f) or Ω(n,K,Q) in GL(n, K). Geom. Dedicata 33:241–250.
  • Shang Zhi, L. (1990). Irreducible subgroups of SL(n, K) generated by root subgroups. Geom. Dedicata 31:41–44.
  • Stark, B. S. (1974). Some subgroups of Ωn(V) generated by groups of root type. J. Algebra 29:33–41.
  • Vavilov, N. A. (1989). Linear groups that are generated by one-parameter groups of one-dimensional transformations. Russ. Math. Surv. 44(1):265–266.
  • Zalesskii, A. E. (1976). Serežkin V. N. Linear groups generated by transvections. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 40:26–49.

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