Growth of primitive elements in free groups
نویسندگان
چکیده
منابع مشابه
Counting Primitive Elements in Free Groups
In this paper it is proved that the set of primitive elements of a nonabelian free group has density zero, i.e. the ratio of primitive elements in increasingly large balls is arbitrarily small. Two notions of density (natural and exponential density) are defined and some of their properties are studied. A class of subsets of the free group (graphical sets) is defined restricting the occurrence ...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2014
ISSN: 0024-6107
DOI: 10.1112/jlms/jdu009