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Groups with a small covering number

Part of the Lecture Notes in Mathematics book series (LNM,volume 1112)

Abstract

The covering number of a group G is the smallest integer k, such that Ck=G for all nonidentity conjugacy classes C of G. If no such integer exists, the covering number is defined to be ω, the smallest infinite ordinal. In this article the frequency of groups with covering number equal to two is studied. While such finite groups are rare, there are many natural examples of such infinite groups.

Keywords

  • Finite Group
  • Conjugacy Class
  • Simple Group
  • Chevalley Group
  • Character Table

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.

The first author was supported by the Israel National Academy of Science. The second author’s research was supported by the Promotion of Research at the Technion.

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© 1985 Springer-Verlag

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Arad, Z., Chillag, D., Moran, G. (1985). Groups with a small covering number. In: Arad, Z., Herzog, M. (eds) Products of Conjugacy Classes in Groups. Lecture Notes in Mathematics, vol 1112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072289

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  • DOI: https://doi.org/10.1007/BFb0072289

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