On the index complex of a maximal subgroup and the group-theoretic properties of a finite group - doi: 10.5269/bspm.v23i1-2.7458

Autores

  • Lining Jiang Beijing Institute of Technology
  • Wang Xiaojing Beijing Institute of Civil Eng. and Arch.

DOI:

https://doi.org/10.5269/bspm.v23i1-2.7458

Palavras-chave:

index complex, solvable groups, super-solvable groups, nilpotent groups.

Resumo

Let G be a finite group, S^p(G); \Phi'(G) and \Phi_1(G) be generalizations of the Frattini subgroup of G. Based on these characteristic subgroups and using Deskins index complex, this paper gets some necessary and suffcient conditions for G to be a p-solvable, \pi-solvable, solvable, super-solvable and nilpotent group.

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Edição

v. 23 n. 1-2 (2005)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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