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Solitary solvable groups. (English) Zbl 1259.20015
The concept of solitary subgroups has been introduced by Kaplan and Levy in 2009. Combining together the concepts of solitary subgroups and solvable groups, in the current paper the authors define two new concepts, namely (normal) solitary solvable groups and (normal) strongly solitary solvable groups. Several interesting results about these classes of groups are proved.

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D30 Series and lattices of subgroups
20D25 Special subgroups (Frattini, Fitting, etc.)
Full Text: DOI
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[7] DOI: 10.1017/S0305004100000414
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