Grup finit care nu este simplu

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Beniamin Bogosel
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Grup finit care nu este simplu

Post by Beniamin Bogosel »

Fie \( G \) un grup finit de ordin \( 2^n \cdot m \) cu \( n,m \) naturale, \( m \) impar. Demonstrati ca daca \( G \) contine un element de ordin \( 2^n \), atunci \( G \) nu e simplu si contine un subgrup normal de ordin \( m \).

Miklos Schweitzer 2009
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