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Finite groups with weakly-supplemented subgroups of prime orders

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. In the paper, one interesting result with weakly-supplemented minimal subgroups of G is obtained. Some known results are generalized.

Finite Group Theory Researchgraph theory and CDMA systemsCoding theory and cryptographyMathematicsCombinatoricsIndex of a subgroupPrime (order theory)Finite groupSubgroupMaximal subgroupGroup (periodic table)Normal subgroupLocally finite group
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Finite groups with weakly-supplemented subgroups of prime orders · Scinovex