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Original Articles

The Groups and Nilpotent Lie Rings of Order p8 with Maximal Class

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References

  • Bagnera, G. (1898). La composizione dei Gruppi finiti il cui grado è la quinta potenza di un numero primo. Ann. Mat. Pura Appl. 3(1): 137–228 doi:10.1007/BF02419191
  • Besche, H. U., Eick, B., O’Brien, E. A. (2002). A Millennium project: constructing small groups. Int. J. Algebra Comput. 12: 623–644. doi:10.1142/S0218196702001115
  • Bosma, W., Cannon, J., Playoust, C. (1997). The Magma algebra system I: The user language. J. Symb. Comput., 24: 235–265.
  • Cicalò, S., de Graaf, W. (2019). LieRing – Computing with finitely presented Lie rings, a GAP 4 package.
  • Eick, B., Vaughan-Lee, M. R. (2018). LiePRing – Database and algorithms for Lie p-rings, a GAP 4 package.
  • Evseev, A. (2008). Higman’s PORC conjecture for a family of groups. Bull. Lond. Math. Soc. 40: 415–431 doi:10.1112/blms/bdn021
  • [The GAP Group. (2020). GAP – Groups, Algorithms, and Programming, Version 4.11. Available at http://www.gap-system.org.
  • Higman, G. (1960). Enumerating p-groups. II. Problems whose solution is PORC. Proc. London Math. Soc. 10(3): 566–582.
  • Newman, M. F., O’Brien, E. A., Vaughan-Lee, M. R. (2004). Groups and nilpotent Lie rings whose order is the sixth power of a prime. J. Algebra. 278: 383–401. doi:10.1016/j.jalgebra.2003.11.012
  • O’Brien, E. A. (1990). The p-group generation algorithm. J. Symb. Comput. 9: 677–698.
  • O’Brien, E. A., Vaughan-Lee, M. R. (2005). The groups with order p7 for odd prime p. J. Algebra. 292: 243–358.
  • Vaughan-Lee, M. (2015). Groups of order p8 and exponent p. Int. J. Group Theory. 4: 25–42.

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