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Complemented group

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  1. in the realm of group theory, a group is termed a complemented group or a K group if every subgroup of it has a lattice theoretic complement

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  2. a term from mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. That is, G is a complemented group if for every subgroup H of G there is a subgroup L that intersects H trivially and that, along with H generates G. Equivalently, G is complemented if and only if the lattice of subgroups of G is a complemented latti

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. Every finite simple group is a complemented group

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  5. The proof of this requires the classification of finite simple groups

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  6. An example of a group that is not complemented is the cyclic group of order p2, where p is a prime number

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
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