A note on weakly-supplemented subgroups of finite groups

Hong Pan

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 4, page 1051-1054
  • 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 the paper, we extend one main result of Kong and Liu (2014).

How to cite

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Pan, Hong. "A note on weakly-supplemented subgroups of finite groups." Czechoslovak Mathematical Journal 68.4 (2018): 1051-1054. <http://eudml.org/doc/294594>.

@article{Pan2018,
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 the paper, we extend one main result of Kong and Liu (2014).},
author = {Pan, Hong},
journal = {Czechoslovak Mathematical Journal},
keywords = {weakly-supplemented subgroup; $p$-nilpotent group; supersolvable group},
language = {eng},
number = {4},
pages = {1051-1054},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on weakly-supplemented subgroups of finite groups},
url = {http://eudml.org/doc/294594},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Pan, Hong
TI - A note on weakly-supplemented subgroups of finite groups
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 4
SP - 1051
EP - 1054
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 the paper, we extend one main result of Kong and Liu (2014).
LA - eng
KW - weakly-supplemented subgroup; $p$-nilpotent group; supersolvable group
UR - http://eudml.org/doc/294594
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. 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
  5. Li, D., Guo, X., 10.1080/00927879808826248, Commun. Algebra 26 (1998), 1913-1922. (1998) Zbl0906.20012MR1621704DOI10.1080/00927879808826248

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