Intersections of prefrattini subgroups in finite soluble groups
Let $H$ be a prefrattini subgroup of a soluble finite group $G$. In the paper it is proved that there exist elements $x,y in G$ such that the equality $H cap H^x cap H^y = Phi (G)$ holds.
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| Format: | Article |
| Language: | English |
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University of Isfahan
2017-06-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://ijgt.ui.ac.ir/article_11163_3650d54fe69af739215f4d9e4faf6065.pdf |