Some results on a question of M. Newman on isomorphic subgroups of solvable groups
Group Theory
2020-04-23 v1
Abstract
In this paper, we focus on a question of M. Newman on isomorphic subgroups of solvable groups. We get a reduction theorem of this question: for each prime q, assume that this question holds for every characteristic q-groups, then this question holds for every finite solvable groups. Using this reduction theorem, we get some partial answers about this question.
Keywords
Cite
@article{arxiv.2004.10494,
title = {Some results on a question of M. Newman on isomorphic subgroups of solvable groups},
author = {Heguo Liu and Xingzhong Xu and Jiping Zhang},
journal= {arXiv preprint arXiv:2004.10494},
year = {2020}
}
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