Solvable and non-solvable finite groups of the same order type
| Autor: | Piwek, Paweł |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We construct two finite groups of size $2^{365}\cdot 3^{105}\cdot 7^{104}$: a solvable group $G$ and a non-solvable group $H$, such that for every integer $n$ the groups have the same number of elements of order $n$. This answers a question posed in 1987 by John G. Thompson. Comment: 9 pages; added a section on how these examples were found |
| Databáze: | arXiv |
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