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A subgroup H of a finite group G is weakly supplemented in G if there exists a proper subgroup K of G such that $$G=HK$$ G = H K .… Click to show full abstract
A subgroup H of a finite group G is weakly supplemented in G if there exists a proper subgroup K of G such that $$G=HK$$ G = H K . In the paper, we present some sufficient and necessary conditions for a finite group to be p -nilpotent and solvable by using some weakly supplemented minimal subgroups. As applications, we extend some known results.
Keywords:
finite groups;
minimal subgroups;
weakly supplemented;
groups minimal;
subgroups weakly
Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
Link to full text (if available)
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Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
Link to full text (if available)
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recommendations!