About: Balance theorem

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In mathematical group theory, the balance theorem states that if G is a group with no core then G either has disconnected Sylow 2-subgroups or it is of characteristic 2 type or it is of component type . The significance of this theorem is that it splits the classification of finite simple groups into three major subcases.

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  • In mathematical group theory, the balance theorem states that if G is a group with no core then G either has disconnected Sylow 2-subgroups or it is of characteristic 2 type or it is of component type . The significance of this theorem is that it splits the classification of finite simple groups into three major subcases. (en)
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  • In mathematical group theory, the balance theorem states that if G is a group with no core then G either has disconnected Sylow 2-subgroups or it is of characteristic 2 type or it is of component type . The significance of this theorem is that it splits the classification of finite simple groups into three major subcases. (en)
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  • Balance theorem (en)
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