An Analytical Study of P-Group, P-Subgroup and Different Cases of Sylow’s Theorems
DOI:
https://doi.org/10.3126/av.v8i1.74008Keywords:
p-group, Sylow’s theorems, conjugate subgroups, p-sylow subgroups, double cosetAbstract
This paper deals with the series of Sylow’s theorems and their applications. Actually First Sylow’s theorem provides the idea that whether a group has a sylow subgroup or not. The second Sylow’s theorem deals with conjugate subgroups of a Group and the third Sylow’s theorem provides the information about the number of Sylow’s subgroups.
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