On CLT and non-CLT groups
| Autor: | Tărnăuceanu, Marius |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this note, we prove that for every integer $d\geq 2$ which is not a prime power, there exists a finite solvable group $G$ such that $d\mid |G|$, $\pi(G)=\pi(d)$ and $G$ has no subgroup of order $d$. We also introduce the CLT-degree of a finite group and answer two questions about it. Comment: Accepted for publication in Ann. Mat. Pura Appl |
| Databáze: | arXiv |
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