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Research Article

On numerical invariants of a finite group factorized by tcc-subgroups

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Pages 2661-2668 | Received 15 Sep 2022, Published online: 06 Mar 2023

References

  • M. Arroyo-Jorda and P. Arroyo-Jorda, Conditional permutability of sub-groups and certain classes of groups, J. Algebra 476 (2017), 395–414. doi: 10.1016/j.jalgebra.2016.12.020
  • M. Arroyo-Jorda, P. Arroyo-Jorda, A. Martinez-Pastor, and M.D. Perez-Ramos, On conditional permutability and factorized groups, Ann. Mat. Pura Appl. 193 (2014), 1123–1138. doi: 10.1007/s10231-012-0319-1
  • A. Ballester-Bolinches, R. Esteban-Romero, and M. Asaad, Products of finite groups, De Gruyter Expositions in Mathematics, Berlin, 2010.
  • J. Cossey, Soluble products of _nite groups, Note Mat. 30(1) (2010), 1–7.
  • J. Cossey and Y. Li, On the p-length of the mutually permutable product of two p-soluble groups, Arch. Math. 110 (2018), 533–537. doi: 10.1007/s00013-018-1150-8
  • K. Doerk and T. Hawkes, Finite soluble groups, Walter de Gruyter, Berlin/New York, 1992.
  • W. Guo, K.P. Shum, and A.N. Skiba, Criterions of supersolubility for products of supersoluble groups, Publ. Math. Debrecen 68(3–4) (2006), 433–449. doi: 10.5486/PMD.2006.3268
  • B. Huppert, Endliche Gruppen I, Springer, Berlin/Heidelberg/New York, 1967.
  • E. Jabara, The Fitting length of a product of mutually permutable finite groups, Acta Math. Hungar. 159 (2019), 206–210. doi: 10.1007/s10474-019-00923-8
  • V.S. Monakhov, Introduction to the Theory of Finite groups and their Classes, Vyshejshaja shkola, Minsk, 2006.
  • V.S. Monakhov and A.A. Trofimuk, Invariants of finite solvable groups, Algebra Discrete Math. 14(1) (2012), 107–131.
  • L.A. Shemetkov, Formations of Finite Groups, Nauka, Moscow, 1978.
  • A.A. Trofimuk, On the supersolubility of a group with some tcc-subgroups, J. Algebra Appl. 20(2) (2021), 2150020-1–2150020-18. doi: 10.1142/S0219498821500201

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