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| On Complemented Subgroups of Finite Groups |
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Citation： |
LI Deyu,GUO Xiuyun.On Complemented Subgroups of Finite Groups[J].Chinese Annals of Mathematics B,2001,22(2):249~254 |
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Net amount： 779 |
Authors： |
LI Deyu; GUO Xiuyun |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19671073) and the
Youth Science Foundation of Shanxi Province, China (No.981002). |
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| Abstract： |
A subgroup $H$ of a finite group $G$ is said to be complemented in $G$ if
there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K=1$.
In this case, $K$ is called a complement of $H$ in $G$. In this note some
results on complemented subgroups of finite groups are obtained. |
Keywords： |
Finite group, Complemented group, Quotient group |
Classification： |
20D20 |
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