On the residual of a factorized group with widely supersoluble factors

Let be the set of all primes. A subgroup H of G is called -subnormal in G, if either H = G, or there exists a chain Recall that G is -supersoluble, if every Sylow subgroup of G is -subnormal in G. The structure of -supersoluble residual of G = AB with -subnormal -supersoluble subgroups A and B is ob...

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Bibliographic Details
Published in:Communications in algebra 2020-12, Vol.48 (12), p.5290-5295
Main Authors: Monakhov, Victor S., Trofimuk, Alexander A.
Format: Article
Language:English
Subjects:
Mutually sn-permutable subgroups
residual
Subgroups
subnormal subgroup
the
widely supersoluble groups
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Summary:Let be the set of all primes. A subgroup H of G is called -subnormal in G, if either H = G, or there exists a chain Recall that G is -supersoluble, if every Sylow subgroup of G is -subnormal in G. The structure of -supersoluble residual of G = AB with -subnormal -supersoluble subgroups A and B is obtained.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2020.1786580