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Interlacing of elementary abelian groups

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Abstract

A lattice of characteristic subgroups of multiple interlacings of finite elementary abelian groups by itself is established herein.

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Literature cited

  1. L. Kaloujnine, “La structure des p-groupes de Sylow des groupes symmétriques finis,” Ann. de l'École Norm. Super.,68, 239–276 (1948).

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  2. L. Kaloujnine and M. Krasner, “Produit complet des groupes de permutations et le probleme d'extention de groupes,” Acta Sci. Math.,14, No. 1, 39–66 (1951).

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Authors and Affiliations

  1. Kiev State University, USSR

    V. I. Sushchanskii

Authors
  1. V. I. Sushchanskii
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Additional information

Translated from Matematicheskie Zametki, Vol. 11, No. 1, pp. 61–72, January, 1972.

The author takes this opportunity to thank L. A. Kaloujnine for formulating the problem and for aid in performing the research.

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Sushchanskii, V.I. Interlacing of elementary abelian groups. Mathematical Notes of the Academy of Sciences of the USSR 11, 41–47 (1972). https://doi.org/10.1007/BF01366915

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  • DOI: https://doi.org/10.1007/BF01366915

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