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Research Article

Spectral Gap for the Cohomological Laplacian of SL3(ℤ)

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References

  • Bader, U., Nowak, P. W. (2020). Group algebra criteria for vanishing of cohomology. J. Funct. Anal. 11: 108730, 18pp. 10.1016/j.jfa.2020.108730
  • Bezanson, J., Edelman, A., Karpinski, S., Shah, V. B. (2017). Julia: a fresh approach to numerical computing. SIAM Review 59(1): 65–98. 10.1137/141000671
  • Conder, M., Robertson, E., Williams, P. (1992). Presentations for 3-dimensional special linear groups over integer rings. Proc. Amer. Math. Soc. 115(1): 19–26. 10.1090/S0002-9939-1992-1079696-5
  • Fox, R. H. (1953). Free differential calculus. I. Derivation in the free group ring. Ann. Math. (2), 57: 547–560. DOI: 10.2307/1969736 10.2307/1969736
  • Fox, R. H. (1954). Free differential calculus. II. The isomorphism problem of groups. Ann. Math. (2) 59: 196–210. DOI: 10.2307/1969686 10.2307/1969686
  • Kaluba, M., Kielak, D., Nowak, P. W. (2021). On property (T) for Aut(Fn) and SLn(Z). Ann. Math. (2) 193(2): 539–562.
  • Kaluba, M., Mizerka, P. (2022). LowCohomologySOS. Available at: https://github.com/piotrmizerka/LowCohomologySOS.
  • Kaluba, M., Nowak, P. W., Ozawa, N. (2019). Aut(F5) has property (T). Math. Ann. 375(3–4): 1169–1191.
  • Lyndon, R. C. (1950). Cohomology theory of groups with a single defining relation. Ann. Math. (2) 52: 650–665. 10.2307/1969440
  • Lyndon, R. C., Schupp, P. E. (1977). Combinatorial Group Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89. Berlin-New York: Springer-Verlag.
  • Ozawa, N. (2016). Noncommutative real algebraic geometry of Kazhdan’s property (T). J. Inst. Math. Jussieu 15(1): 85–90. 10.1017/S1474748014000309

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