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Nonabelian subgroups of prime-power order of classical groups of the same prime degree

Part of the Lecture Notes in Mathematics book series (LNM,volume 573)

Abstract

Let p be a prime and F a field, not of characteristic p. Finite nonabelian p-subgroups of the following groups of degree p with coefficients in F are studied: GL, SL, PGL, PSL, U, SU, PU, PSU. The isomorphism and conjugacy classes of p-groups are determined together with their normalisers and p-overgroups.

Keywords

  • Conjugacy Class
  • Maximal Subgroup
  • Defect Group
  • Involutary Automorphism
  • Abelian Maximal Subgroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  • S.B. Conlon (1975), "p-groups with an abelian maximal subgroup and cyclic center", J. Austral. Math. Soc. (to appear).

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© 1977 Springer-Verlag

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Conlon, S.B. (1977). Nonabelian subgroups of prime-power order of classical groups of the same prime degree. In: Bryce, R.A., Cossey, J., Newman, M.F. (eds) Group Theory. Lecture Notes in Mathematics, vol 573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087809

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  • DOI: https://doi.org/10.1007/BFb0087809

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08131-9

  • Online ISBN: 978-3-540-37428-2

  • eBook Packages: Springer Book Archive