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OnF-Subnormal Subgroups andF-Residuals of Finite Soluble Groups

✍ Scribed by A. Ballester-Bolinches; M.C. Pedraza-Aguilera; M.D. Pérez-Ramos

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
141 KB
Volume
186
Category
Article
ISSN
0021-8693

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✦ Synopsis

formation of all nilpotent groups, the F F-subnormal subgroups of G are exactly the subnormal subgroups of G.

Let F F be a subgroup-closed saturated formation containing N N. It is rather easy to see that if F F is closed under the product of normal subgroups, then G F F s A F F B F F for every pair of subnormal subgroups A and B such that G s AB. This result does not remain true if A and B are 314

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