Real Length Functions in Groups
Open Access
- 1 December 1972
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 174, 77-106
- https://doi.org/10.2307/1996098
Abstract
This paper is a study of the structure of a group G equipped with a 'length' function from G to the nonnegative real numbers. The properties that we require this function to satisfy are derived from Lyndon's work on groups with integer-valued functions. A real length function is a function which assigns to each a nonnegative real number such that the following axioms are satisfied:Keywords
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