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Communications in Algebra Volume 48, 2020 - Issue 12
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Articles

Some linear groups with G-core-free subspaces

Martyn R. DixonDepartment of Mathematics, University of Alabama Tuscaloosa, Tuscaloosa, Alabama, USA; Correspondence[email protected]
,
Leonid A. KurdachenkoDepartment of Algebra, Facultet of Mathematic and Mechanik, National University of Dnepropetrovsk Gagarin, Ukraine Prospect 72, Dnipro 10, Ukraine;
&
Igor Ya. SubbotinDepartment of Mathematics and Natural Sciences, National University, Los Angeles, California, USA
Pages 5455-5464 | Received 14 Jan 2020, Accepted 29 Jun 2020, Published online: 28 Jul 2020

References

  • Baer, R. (1935). Der Kern, eine charakteristische Untergruppe. Compos. Math. 1:254–283.
  • Dixon, M. R., Kurdachenko, L. A., Otal, J. (2012). Linear Groups with Finite Dimensional Orbits, Ischia Group Theory 2010. Hackensack, NJ: World Scientific Publishing, pp. 131–145.
  • Dixon, M. R., Kurdachenko, L. A., Subbotin, I. Y. On certain groups with G-contrainvariant subspaces. Rocky Mountain J. Math. To appear.
  • Kurdachenko, L., Subbotin, I. (2003). On some infinite dimensional linear groups. Groups St. Andrews 2001 in Oxford. Vol. II, London Mathematical Society Lecture Note series, Vol. 305. Cambridge: Cambridge University Press, pp. 377–384.
  • Kurdachenko, L. A. (2010). On some infinite dimensional linear groups. Note Mat. 30(suppl. 1):21–36.
  • Kurdachenko, L. A., Otal, J., Ya, I. (2002). Subbotin, Groups with Prescribed Quotient Groups and Associated Module Theory. Series in Algebra, Vol. 8, Singapore: World Scientific.
  • Muñoz-Escolano, J. M., Otal, J., Semko, N. N. (2009). The structure of infinite dimensional linear groups satisfying certain finiteness conditions. Algebra Discrete Math. (4):120–134.
  • Otal, J. (2010). Infinite dimensional linear groups: how we have studied them. Rev. R. Acad. Cienc. Exactas Fís. Quím. Nat. Zaragoza. 65(2):7–33.
  • Phillips, R. E. (1995). Finitary linear groups: a survey. In: Hartley, B., Seitz, G., Borovik, A. V., Bryant, R. M., eds. Finite and Locally Finite Groups. NATO ASI Series (Series C: Mathematical and Physical Sciences), Vol. 471. Dordrecht: Springer, pp. 111–146.
  • Wehrfritz, B. A. F. (1973). Infinite Linear Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete. New York: Springer, pp. 76.

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