Length Functions and HNN Groups
Journal of Scientific Research and Reports · pp. 1–8 · Published 26 May 2017
10.9734/JSRR/2017/33282Abstract
The concept of length functions on groups is first introduced by Lyndon. This is used to give direct proofs of many other results in combinatorial group theory. Two important sets called M and N satisfying some certain axioms of length functions are considered. Finally investigations of the nature and the structures of the sets M and N in relation to the elements of HNN group were carried out.
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