Subgroups of Finite Index in Free Groups
Marshall Hall
Source record
Source: Crossref
Published: Apr 1, 1949
DOI: 10.4153/cjm-1949-017-2
Open original source ↗Source abstract
This paper has as its chief aim the establishment of two formulae associated with subgroups of finite index in free groups. The first of these (Theorem 3.1) gives an expression for the total length of the free generators of a subgroup U of the free group F r with r generators. The second (Theorem 5.2) gives a recursion formula for calculating the number of distinct subgroups of index n in F r . Of some independent interest are two theorems used which do not involve any finiteness conditions. These are concerned with ways of determining a subgroup U of F.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.