On Subsequence Weighted Products
| Autor: | Yahya Ould Hamidoune, Domingo Quiroz |
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| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | Combinatorics, Probability and Computing. 14:485-489 |
| ISSN: | 1469-2163 0963-5483 |
| DOI: | 10.1017/s0963548305006814 |
| Popis: | Let $G$ be a finite group of order $n$ and let $k$ be a natural number. Let $\{x_i : i\in I\}$ be a family of elements of $G$ such that $|I|= n+k-1$. Let $v$ be the most repeated value of the family. Let $ \{ \sigma_i : 1\leq i \leq k \} $ be a family of permutations of $G$ such that $\sigma_i(1)=1$ for all $i$. We obtain the following result.There are pairwise distinct elements $i_1, i_2, \dots ,i_k\in I$ such that \[ \prod_{1\leq j\leq k } \sigma_j \big(v^{-1}x_ {i_j }\big) =1.\] |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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