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Imply hg gh - PowerPoint PPT Presentation

[E;+] Example:S 3 ={e, ? 1 , ? 2 , ? 3 , ? 4 , ? 5 }

Definition 16: Let H be a subgroup of a group G, and let a ? G. We define the left coset of H in G containing g,written gH, by gH ={ g * h | h ? H }. Similarity we define the right coset of H in G containing g,written Hg, by Hg ={ h*g | h ? H }. [E;+]

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Imply hg gh - PowerPoint PPT Presentation

[E;+] Example:S 3 ={e, ? 1 , ? 2 , ? 3 , ? 4 , ? 5 }