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In this paper, we focus on a question of M. Newman on isomorphic subgroups ofsolvable groups. We get a reduction theorem of this question: for each prime q,assume that this question holds for every characteristic q-groups, then thisquestion holds for every finite solvable groups. Using this reduction theorem,we get some partial answers about this question.

Some results on a question of M. Newman on isomorphic subgroups of solvable groups