On the Supersoluble Residual of a Product of Supersoluble Subgroups

Let P be the set of all primes. A subgroup H of a group G is called P-subnormal in G, if either H = G, or there exists a chain of subgroups H = H_0 \leq H_1 \leq ... \leq H_n = G, with |H_i : H_{i-1}| \in P for all i. A group G = AB with P-subnormal supersoluble subgroups A and B is studied. T...

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Bibliographic Details
Main Authors: Victor S. Monakhov, Alexander A. Trofimuk
Format: Article
Language:English
Published: Aracne 2020-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/9/MonakhovTrofimuk.pdf