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Kernels of covered groups, II

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Abstract

In this paper we continue the study of kernels of covered groups. For the finite elementary abelian case, we find necessary and sufficient conditions in terms of an associated lattice, for the kernel K of a covered group to be a field, or a simple ring, or a semisimple ring. Also, we discuss the case when N is a local ring. Furthermore, starting with the group G = (Zn)n, we show how to construct the fields and simple rings which arise from covers of G.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University College Station, Tx 77843, USA

    C. J. Maxson

  2. Institut für Mathematik, Johannes Kepler Universität, A-4040, Linz, Austria

    G. F. Pilz

Authors
  1. C. J. Maxson
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  2. G. F. Pilz
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Maxson, C.J., Pilz, G.F. Kernels of covered groups, II. Results. Math. 16, 140–154 (1989). https://doi.org/10.1007/BF03322650

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  • DOI: https://doi.org/10.1007/BF03322650

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