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new group theory set theory group operates on set mathematical action abstract algebra homomorphism group representation
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new group theory symmetry group geometric group theory transformation group mathematical action abstract algebra cube symmetry

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f:🅰️↪🅱️g:🅱️↪🅰️⇒∃h:🅰️↔️🅱️
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H⊂G
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{🏠}🚶‍♂️➡️{🏘️}
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🚶‍♂️*{👥}➡️{👤👥...}
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|🅰️|≤|🅱️|&|🅱️|≤|🅰️|⇒|🅰️|=|🅱️|
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