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- Title
On Finite Groups that are the Product of Two Subnormal Supersoluble Subgroups.
- Authors
Cossey, John; Li, Yang Ming
- Abstract
Denote the class of finite groups that are the product of two normal supersoluble subgroups and the class of groups that are the product of two subnormal supersoluble subgroups by B 1 and B 2 , respectively. In this paper, a characterisation of groups in B 1 or in B 2 is given. By applying this new characterisation, some new properties of B 1 ( B 2 ) and new proofs of many known results about B 1 or B 2 are obtained. Further, closure properties of B 1 and B 2 are discussed.
- Subjects
FINITE groups; SUBGROUP growth
- Publication
Acta Mathematica Sinica, 2023, Vol 39, Issue 1, p30
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-023-0557-8