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Finite groups with ℱ-subnormal conditions

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Abstract

Let ℱ be a subgroup-closed saturated formation. A finite group G is called an ℱpc-group provided that each subgroup X of G is ℱ-subabnormal in the ℱ-subnormal closure of X in G. Let ℱpc be the class of all ℱpc-groups. We study some properties of ℱ pc-groups and describe the structure of ℱpc-groups when ℱ is the class of all soluble π-closed groups, where π is a given nonempty set of prime numbers.

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Authors and Affiliations

  1. Department of Mathematics, Guangxi University, Nanning, Guangxi, China

    S. Li

  2. College of Mathematics, Xiamen University, Xiamen, Fujian, China

    N. Du

Authors
  1. S. Li
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  2. N. Du
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Correspondence to N. Du.

Additional information

Original Russian Text Copyright © 2008 Li S. and Du N.

The authors were supported by the NSF of the Guangxi Autonomous Region (Grant 0249001) and the NSF of the Fujian Province of China (Grant S0650036).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 2, pp. 367–373, March–April, 2008.

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Li, S., Du, N. Finite groups with ℱ-subnormal conditions. Sib Math J 49, 295–299 (2008). https://doi.org/10.1007/s11202-008-0029-5

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  • DOI: https://doi.org/10.1007/s11202-008-0029-5

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