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Research Articles

On projective representations of finitely generated groups

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Pages 1994-2003 | Received 20 May 2021, Accepted 14 Nov 2022, Published online: 29 Nov 2022

References

  • Beloshapka, I. V., and Gorchinskiĭ, S. O. (2016). Irreducible representations of nilpotent finitely generated groups. Mat. Sb. 207(1):45–72.
  • Beyl, F. R., Tappe, J. (2006). Group Extensions, Representations, and the Schur Multiplicator, Vol. 958. Berlin: Springer.
  • Cheng, C. (2015). A character theory for projective representations of finite groups. Linear Algebra Appl. 469:230–242. DOI: 10.1016/j.laa.2014.11.027.
  • Hall, P. (1959). On the finiteness of certain soluble groups. Proc. London Math. Soc. 3(4):595–622.
  • Hatui, S., Singla, P. (2021). On schur multiplier and projective representations of heisenberg groups. J. Pure Appl. Algebra 225(11):106742.
  • Hochschild, G., Serre, J.-P. (1953). Cohomology of group extensions. Trans. Amer. Math. Soc. 74:110–134. DOI: 10.1090/S0002-9947-1953-0052438-8.
  • Hopf, H. (1964). Fundamentalgruppe und zweite bettische gruppe. In Selecta Heinz Hopf. Berlin: Springer, pp. 186–206.
  • Karpilovsky, G. (1985). Projective Representations of Finite Groups. New York-Basel:Marcel Dekker Inc.
  • Narayanan, E. K., Singla, P. (2018). On monomial representations of finitely generated nilpotent groups. Commun. Algebra 46(6):2319–2331. DOI: 10.1080/00927872.2017.1378894.
  • Passman,D. S. (1970). Radicals of twisted group rings. Proc. London Math. Soc. 3(3):409–437.
  • Passman, D. S. (1996). The semiprimitivity problem for twisted group algebras of locally finite groups. Proc. London Math. Soc. 3(2):323–357.
  • Schur, J. (1904). Über die darstellung der endlichen gruppen durch gebrochen lineare substitutionen. J. für die Reine und Angew. Math. 1904(127):20–50.
  • Schur, J. (1907). Untersuchungen über die darstellung der endlichen gruppen durch gebrochene lineare substitutionen. J. für die Reine und Angew. Math. 1907(132):85–137.
  • Schur, J. (1911). Über die darstellung der symmetrischen und der alternierenden gruppe durch gebrochene lineare substitutionen. J. für die Reine und Angew. Math. 1911(139):155–250.
  • Vignéras, M.-F. (1996). Représentations l-modulaires d’un groupe réductif p-adique avec l≠p, Progress in Mathematics, Vol. 137. Boston: Birkhäuser Inc.

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