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Research Article

Cohomology and Ext for blocks whose Brauer trees are lines or stars

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Pages 4059-4074 | Received 22 Jan 2023, Accepted 18 Mar 2024, Published online: 23 Jul 2024

References

  • Alperin, J. L. (1977). Periodicity in groups. Illinois J. Math.21(4):776–783. DOI: 10.1215/ijm/1256048927.
  • Böhmler, B., Erdmann, K., Klasz, V., Marczinzik, R. (2023). Selfextensions of modules over group algebras. https://arxiv.org/abs/2310.12748
  • Burkhardt, R. (1979). Über die Zerlegungszahlen der Suzukigruppen (Sz(q). J. Algebra 59(2):421–433. DOI: 10.1016/0021-8693(79)90138-8.
  • Carter, R. W. (1989). Simple Groups of Lie Type. New York: Wiley.
  • Dudas, O. (2023). The Ext-algebra of the brauer tree algebra associated to a line. Rev. Union Mat. Argent. 65(1): pp. 155–164. DOI: 10.33044/revuma.2347.
  • Feit, W. (1984). Possible Brauer trees. Illinois J. Math. 28(1):43–56. DOI: 10.1215/ijm/1256046152.
  • Geck, M. (1990). Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic. Commun. Algebra 18(2):563–584. DOI: 10.1080/00927879008823932.
  • Green, J. A. (1974). Walking around the brauer tree. J. Aust. Math. Soc. 17(2):197–213. DOI: 10.1017/S1446788700016761.
  • Guralnick, R. M., Hodge, T., Parshall, B., Scott, L. (2012). AIM workshop counterexample to Wall’s conjecture. https://aimath.org/news/wallsconjecture/wall.conjecture.pdf
  • Heller, A. (1961). Indecomposable representations and the loop-space operation. Proc. Amer. Math. Soc. 12(4):640–643. DOI: 10.1090/S0002-9939-1961-0126480-2.
  • Hiss, G. (1991). The Brauer trees of the Ree groups. Commun. Algebra 19(3):871–888. DOI: 10.1080/00927879108824175.
  • Janusz, G. J. (1969). Indecomposable modules for finite groups. Ann. Math. 89(2):209–241. DOI: 10.2307/1970666.
  • Lübeck, F. (2020). Computation of Kazhdan–Lusztig polynomials and some applications to finite groups. Trans. Amer. Math. Soc. 373:2331–2347 DOI: 10.1090/tran/8037.
  • Saunders, J. (2022). Cohomology of PSL2(q). J. Algebra 595:347–379. DOI: 10.1016/j.jalgebra.2021.11.049.
  • Scott, L. L., Sprowl, T. (2016). Computing individual Kazhdan-Lusztig basis elements. J. Symbolic Comput. 73:244–249. DOI: 10.1016/j.jsc.2015.05.003.