A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
On Finite Groups with Two Independent Generators: II
1951
Proceedings of the National Academy of Sciences of the United States of America
The present note is a direct continuation of Note I of the same title,' with which we must suppose the reader acquainted, and to which we shall therefore refer quite freely. 8. Order of Cycles.-The following, generalizing Theorem VII, limits severely the nature of a special substitution. THEOREM XII. Let 0 be a special substitution on [m] and a, b any two numerals of this range. Then if (a, m) (b, M),2 the order of the cycle containing b divides the order of the cycle containing a. It follows
doi:10.1073/pnas.37.10.677
pmid:16578401
pmcid:PMC1063445
fatcat:tbgflipsc5bbhnf5p6p4nzzupi