This paper provides the first steps in classifying the finite solvable groups having Property A, which is a property involving abelian normal subgroups. We see that this classification is reduced to classifying the sovable Chermak-Delgado simple groups, which the author defines. The notion of Chermak-Delgado simple," or "CD-simple" for short, is a generalization of simple groups through the Cherniak-Delgado lattice. The author completes a classification of Chermak-Delgado simple groups under certain restrictions on the primes involved in the group order.
展开▼
