Covering monolithic groups with proper subgroups
Given a finite non-cyclic group $G$, call $sigma(G)$ the smallest number of proper subgroups of $G$ needed to cover $G$. Lucchini and Detomi conjectured that if a nonabelian group $G$ is such that $sigma(G) < sigma(G/N)$ for every non-trivial normal subgroup $N$ of $G$ then $G$ is textit{monolith...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2013-03-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=2674&_ob=ea33a8a83df38a9fbe3ccb5bf483e473&fileName=full_text.pdf. |