Details:
| Title | Sequences of words characterizing finite solvable groups. | | Author(s) | Evija Ribnere | | Type | Article in Journal | | Abstract | There are two sequences in two variables which characterize the solvability of finite groups. Namely, the sequence of Bandman, Greuel, Grunewald, Kunyavskii, Pfister and Plotkin which is defined by u 1 = x −2 y −1 x and un=[xu−1n−1x−1,yu−1n−1y−1] and the sequence of Bray, Wilson, and Wilson defined by s 1 = x and sn=[s−yn−1,sn−1]. We define new sequences and proof that six of them characterize the solvability of finite groups. | | Keywords | Finite solvable group, Identity, Simple group | | ISSN | 0026-9255; 1436-5081/e |
| URL |
http://link.springer.com/article/10.1007%2Fs00605-008-0034-6 |
| Language | English | | Journal | Monatsh. Math. | | Volume | 157 | | Number | 4 | | Pages | 387--401 | | Publisher | Springer, Vienna | | Year | 2009 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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