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On complemented nonabelian chief factors of a finite group

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Abstract

The number of chief factors which are complemented in a finite groupG may not be the same in two chief series ofG, despite what occurs with the number of frattini chief factors or of chief factors which are complemented by a maximal subgroup ofG. In this paper we determine the possible changes on that number. These changes can only occur in a certain type of nonabelian chief factors. All groups considered in this paper are assumed to be finite.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Zaragoza, 50009, Zaragoza, España

    Paz Jiménez-Seral

  2. Departamento de Matemática e Informática, Universidad Pública de Navarra Campus Arrosadia s/n, 31006, Pamplona, Spain

    Julio P. Lafuente

Authors
  1. Paz Jiménez-Seral
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  2. Julio P. Lafuente
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Corresponding author

Correspondence to Paz Jiménez-Seral.

Additional information

Both authors were supported in part by DGICYT, PB94-1048.

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Jiménez-Seral, P., Lafuente, J.P. On complemented nonabelian chief factors of a finite group. Isr. J. Math. 106, 177–188 (1998). https://doi.org/10.1007/BF02773467

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  • DOI: https://doi.org/10.1007/BF02773467

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