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Original Articles

The Modality of a Borel Subgroup in a Simple Algebraic Group of Type E8

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References

  • [The GAP Group 02] The GAP Group, GAP – Groups, Algorithms, and Programming, Version 4.3, 2002, http://www.gap-system.org.
  • [Goddard and Goodwin 18] R. Goddard and S. M. Goodwin. “On Commuting Varieties of Parabolic Subalgebras.” J. Pure Appl. Algebra 222 (2018), 481–507.
  • [Goodwin 06] S. M. Goodwin. “On the Conjugacy Classes in Maximal Unipotent Subgroups of Simple Algebraic Groups.” Transform. Groups 11: (1) (2006), 51–76.
  • [Goodwin et al. 14] S. M. Goodwin, P. Mosch and G. Röhrle. “Calculating Conjugacy Classes in Sylow p-subgroups of Finite Chevalley Groups of Rank Six and Seven.” LMS J. Comput. Math. 17: (1) (2014), 109–122.
  • [Goodwin et al. 16] S. M. Goodwin, P. Mosch and G. Röhrle. “On the Coadjoint Orbits of Maximal Unipotent Subgroups of Reductive Groups.” Transform. Groups 21: (2) (2016), 399–426.
  • [Goodwin and Röhrle 09] S. M. Goodwin and G. Röhrle. “Calculating Conjugacy Classes in Sylow p-subgroups of Finite Chevalley Groups.” J. Algebra 321: (11) (2009), 3321–3334.
  • [Goodwin and Röhrle 15] S. M. Goodwin and G. Röhrle. “On Commuting Varieties of Nilradicals of Borel Subalgebras of Reductive Lie Algebras.” Proc. Edinb. Math. Soc. 58 (2015), 169–181.
  • [Greuel et al. 09] G.-M. Greuel, G. Pfister, and H. Schönemann. Singular 3-1-1, A Computer Algebra System for Polynomial Computations, Centre for Computer Algebra, University of Kaiserslautern, 2009. http://www.singular.uni-kl.de
  • [Jürgens and Röhrle 98] U. Jürgens and G. Röhrle. “Algorithmic Modality Analysis for Parabolic Groups.” Geom. Dedicata 73(3) (1998), 317–337.
  • [Pak and Soffer 15] I. Pak and A. Soffer. “On Higman’s k(Un(Fq)) conjecture,” preprint, arxiv:1507.00411 (2015).
  • [Röhrle 97] G. Röhrle. “A Note on the Modality of Parabolic Subgroups.” Indag. Math. (N.S.) 8: (4) (1997), 549–559.
  • [Röhrle 99] G. Röhrle. “On the Modality of Parabolic Subgroups of Linear Algebraic Groups.” Manuscripta Math. 98: (1) (1999), 9–20.
  • [Vinberg 86] È. B. Vinberg. “Complexity of Actions of Reductive Groups.” (Russian) Funktsional. Anal. i Prilozhen. 20:(1) (1986), 1–13, 96.

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