On weakly-supplemented subgroups of finite groups

Qingjun Kong

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 1, page 39-43
  • ISSN: 0011-4642

Abstract

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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 = H K . In this paper, some interesting results with weakly-supplemented minimal subgroups to a smaller subgroup of G are obtained.

How to cite

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Kong, Qingjun. "On weakly-supplemented subgroups of finite groups." Czechoslovak Mathematical Journal 69.1 (2019): 39-43. <http://eudml.org/doc/294834>.

@article{Kong2019,
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 to a smaller subgroup of $G$ are obtained.},
author = {Kong, Qingjun},
journal = {Czechoslovak Mathematical Journal},
keywords = {weakly-supplemented subgroup; complemented subgroup; supersolvable group},
language = {eng},
number = {1},
pages = {39-43},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On weakly-supplemented subgroups of finite groups},
url = {http://eudml.org/doc/294834},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Kong, Qingjun
TI - On weakly-supplemented subgroups of finite groups
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 1
SP - 39
EP - 43
AB - 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 to a smaller subgroup of $G$ are obtained.
LA - eng
KW - weakly-supplemented subgroup; complemented subgroup; supersolvable group
UR - http://eudml.org/doc/294834
ER -

References

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  1. Arad, Z., Ward, M. B., 10.1016/0021-8693(82)90288-5, J. Algebra 77 (1982), 234-246. (1982) Zbl0486.20018MR0665175DOI10.1016/0021-8693(82)90288-5
  2. Hall, P., 10.1112/jlms/s1-12.2.198, J. Lond. Math. Soc. 12 (1937), 198-200. (1937) Zbl0016.39204MR1575073DOI10.1112/jlms/s1-12.2.198
  3. Hall, P., 10.1112/jlms/s1-12.2.201, J. Lond. Math. Soc. 12 (1937), 201-204. (1937) Zbl0016.39301MR1575074DOI10.1112/jlms/s1-12.2.201
  4. Huppert, B., 10.1007/978-3-642-64981-3, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen 134, Springer, Berlin (1967), German. (1967) Zbl0217.07201MR0224703DOI10.1007/978-3-642-64981-3
  5. Kong, Q., Liu, Q., 10.1007/s10587-014-0092-y, Czech. Math. J. 64 (2014), 173-182. (2014) Zbl1321.20021MR3247453DOI10.1007/s10587-014-0092-y
  6. Li, D., Guo, X., 10.1080/00927879808826248, Commun. Algebra 26 (1998), 1913-1922. (1998) Zbl0906.20012MR1621704DOI10.1080/00927879808826248
  7. Pan, H., 10.21136/CMJ.2017.0067-17, (to appear) in Czech. Math. J. (2018). (2018) MR3881895DOI10.21136/CMJ.2017.0067-17

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