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This article is cited in 5 scientific papers (total in 5 papers)
Finite groups with generalized subnormal Schmidt subgroups
F. Suna, Yi Xiaolana, S. F. Kamornikovb a Zhejiang Sci-Tech University, Hangzhou, P. R. China
b F. Skorina Gomel State University, Gomel, Belarus
Abstract:
Given a prime $p$ and a partition $\sigma = \{\{p\}, \{p\}'\}$ of the set of all primes, we describe the structure of the nonnilpotent finite groups whose every Schmidt subgroup is $\sigma$-subnormal.
Keywords:
finite group, $\sigma$-subnormal subgroup, Schmidt group, Frobenius group.
Received: 10.09.2020 Revised: 29.10.2020 Accepted: 18.11.2020
Citation:
F. Sun, Yi Xiaolan, S. F. Kamornikov, “Finite groups with generalized subnormal Schmidt subgroups”, Sibirsk. Mat. Zh., 62:2 (2021), 450–456; Siberian Math. J., 62:2 (2021), 364–369
Linking options:
https://www.mathnet.ru/eng/smj7567 https://www.mathnet.ru/eng/smj/v62/i2/p450
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