Characteristically complemented characteristic is transitive
This article gives the statement, and possibly proof, of a subgroup property (i.e., characteristically complemented characteristic subgroup) satisfying a subgroup metaproperty (i.e., transitive subgroup property)
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Statement
Statement with symbols
Suppose are groups such that is a characteristically complemented characteristic subgroup of and is a characteristically complemented characteristic subgroup of . Then, is a characteristically complemented characteristic subgroup of .
Related facts
Similar facts
Opposite facts
- Permutably complemented is not transitive
- Lattice-complemented is not transitive
- Complemented normal is not transitive
- Complemented characteristic not implies left-transitively complemented normal