Abstract
A subgroup H of a finite group G is weakly-supplemented in G if there exists a proper subgroup K of G such that G = HK. In this paper, some interesting results with weakly-supplemented minimal subgroups or Sylow subgroups of G are obtained.
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The paper is dedicated to Professor J. C. Beidleman for his 80th birthday
The research of the authors are supported by the National Natural Science Foundations of China under Grants 61273119 and 61463001.
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Zhou, Q. On weakly-supplemented subgroups and the solvability of finite groups. Czech Math J 69, 331–335 (2019). https://doi.org/10.21136/CMJ.2018.0301-17
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DOI: https://doi.org/10.21136/CMJ.2018.0301-17