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  00269255; 14365081/e 
URL 
http://link.springer.com/article/10.1007%2Fs0060500800346 
Language  English  Journal  Monatsh. Math.  Volume  157  Number  4  Pages  387401  Publisher  Springer, Vienna  Year  2009  Edition  0  Translation 
No  Refereed 
No 
