Characterizations of minimal non-solvable Fitting p-groups

Characterizations of minimal non-solvable Fitting p-groups

Let G be a minimal non-solvable Fitting p-group. Our main results are that G has uncountbly many subgroups and that G has a homomorphic image with a proper subgroup such that ( ) = 1. We also define the solvabilizer of a solvable group and consider the minimal non-solvability problem in another cont...

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Veröffentlicht in:Journal of group theory 2008-01, Vol.11 (1), p.95-103
1. Verfasser: Arıkan, Ahmet
Format: Artikel
Sprache:eng
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Zusammenfassung:Let G be a minimal non-solvable Fitting p-group. Our main results are that G has uncountbly many subgroups and that G has a homomorphic image with a proper subgroup such that ( ) = 1. We also define the solvabilizer of a solvable group and consider the minimal non-solvability problem in another context.
ISSN:1433-5883
1435-4446
DOI:10.1515/JGT.2008.006