Note on structural properties of graphs
In this paper, we establish sufficient and necessary conditions for the existence of abelian subgroups of maximal order of a finite group GG, by means of its commuting graph. The order of these subgroups attains the bound c=∣[x1]∣+⋯+∣[xm]∣c=| \left[{x}_{1}]| \hspace{-0.25em}+\cdots +\hspace{-0.25em}...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-02-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2021-0137 |