A subgroup H of G is c-permutable in G if there exists a permutable subgroup P of G such that HP = G and H ∩ P ≦ HpG, where HpG is the largest permutable subgroup of G contained in H. A group G is called CPT-group if c-permutability is transitive in G. A number of new characterizations of finite solvable CPT-groups are given.
|Number of pages||7|
|Journal||Acta Mathematica Hungarica|
|Publication status||Published - Jan 2012|
- c-permutable subgroup
- finite solvable group
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