Mathematics · Group Theory
मान लीजिए S5 पांच प्रतीकों पर सममित समूह (symmetric group) है। निम्नलिखित में से कौन सा कथन असत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1S 5 में कोटि 7 का कोई उपसमूह नहीं है
- 2S 5 में &DoubleStruckCapitalZ;/2&DoubleStruckCapitalZ; × &DoubleStruckCapitalZ;/2&DoubleStruckCapitalZ; के समरूपी (isomorphic) कोई उपसमूह नहीं है✓
- 3S 5 में कोटि 8 का एक गैर-आबेली उपसमूह (non-Abelian subgroup) शामिल है
- 4S 5 में कोटि 6 का एक चक्रीय उपसमूह (cyclic subgroup) शामिल है
सही उत्तर देखें
S 5 में &DoubleStruckCapitalZ;/2&DoubleStruckCapitalZ; × &DoubleStruckCapitalZ;/2&DoubleStruckCapitalZ; के समरूपी (isomorphic) कोई उपसमूह नहीं है
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