2011/12/27 by Vance Faber, Faber, Vance
Engineering · Mathematics · #graph theory and CDMA systems #Finite Group Theory Research #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1112.6046
Let G be an infinite group and let h and g be elements. We say that h is a\nroot of g if some integer power of h is equal to g. We define K(G) to be the\nsubgroup of all elements of G for which the number of elements which are not\nroots is of smaller cardinality than the cardinality of the group. That is,\neach element in K has almost every element in G as a root. This paper discusses\nthe problem: When can K(G) be non-trivial?\n