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- W4311510301 abstract "<abstract><p>Suppose that $ sigma = { {sigma}_{i} : i in I } $ is a partition of the set $ mathbb{P} $ of all primes. A subgroup $ A $ of a finite group $ G $ is said to be $ sigma $-<italic>subnormal</italic> in $ G $ if $ A $ can be joined to $ G $ by a chain of subgroups $ A = A_{0} subseteq A_{1} subseteq cdots subseteq A_{n} = G $ such that either $ A_{i-1} $ normal in $ A_{i} $ or $ A_{i}/ Core_{A_{i}}(A_{i-1}) $ is a $ {sigma}_{j} $-group for some $ j in I $, for every $ 1leq i leq n $. A $ sigma $-subnormality criterion related to products of subgroups of finite $ sigma $-soluble groups is proved in the paper. As a consequence, a characterisation of the $ sigma $-Fitting subgroup of a finite $ sigma $-soluble group naturally emerges.</p></abstract>" @default.
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- W4311510301 date "2023-01-01" @default.
- W4311510301 modified "2023-10-18" @default.
- W4311510301 title "On $ sigma $-subnormal subgroups and products of finite groups" @default.
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- W4311510301 doi "https://doi.org/10.3934/era.2023038" @default.
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