Abstract
Let 𝜎 be a partition of the set of prime numbers. In this paper, we describe the finite groups for which every 𝜎-subnormal subgroup is modular.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12171126
Award Identifier / Grant number: 12101165
Award Identifier / Grant number: 12101166
Funding source: Ministry of Education of the Republic of Belarus
Award Identifier / Grant number: 20211328
Award Identifier / Grant number: 20211778
Funding statement: Research was supported by the National Natural Science Foundation of China (No. 12171126, 12101165, and 12101166). Research of the third and the fourth authors were supported by Ministry of Education of the Republic of Belarus (No. 20211328 and 20211778).
Acknowledgements
The authors are deeply grateful for the useful comments and suggestions of the reviewers.
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Communicated by: Andrea Lucchini
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Virtual planar braid groups and permutations
- Orders on free metabelian groups
- The Reidemeister spectrum of direct products of nilpotent groups
- Structure of the Macdonald groups in one parameter
- Finite groups with modular 𝜎-subnormal subgroups
- Invariance of the Schur multiplier, the Bogomolov multiplier and the minimal number of generators under a variant of isoclinism
- An exact sequence for the graded Picent
Artikel in diesem Heft
- Frontmatter
- Virtual planar braid groups and permutations
- Orders on free metabelian groups
- The Reidemeister spectrum of direct products of nilpotent groups
- Structure of the Macdonald groups in one parameter
- Finite groups with modular 𝜎-subnormal subgroups
- Invariance of the Schur multiplier, the Bogomolov multiplier and the minimal number of generators under a variant of isoclinism
- An exact sequence for the graded Picent