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Finitely generated group
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31	1 1. FUNDAMENTALS E. L. Lady May 14, 1998 Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:29 Homological algebra Commutative algebra Algebraic number theory Torsion Divisible group Abelian group Finitely-generated module Dedekind domain Essential extension Abstract algebra Algebra Module theory
32	1 2. RANK ONE MODULES AND TYPES Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:24 Finitely-generated module Subring Ideal Torsion Divisible group Structure theorem for finitely generated modules over a principal ideal domain Abstract algebra Algebra Module theory
33	ON THE GIRTH OF GROUPS SAUL SCHLEIMER Abstract. DISCLAIMER: Everything that follows is of a preliminary nature. We give a new invariant for finitely generated groups, Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2003-06-08 15:28:32 Group theory Geometric group theory Cayley graph Thin group Presentation of a group Quasi-isometry Free group Symmetric group End Abstract algebra Algebra Mathematics
34	J.A.Beachy 0.3 Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2000-08-08 17:43:15 Module theory Abelian group Simple module Cyclic group Module Krull–Schmidt theorem Structure theorem for finitely generated modules over a principal ideal domain Finitely-generated module Simple group Abstract algebra Group theory Algebra
35	Classification of Finitely Generated Abelian Groups The proof given below uses vector space techniques (Smith Normal Form) and generalizes from abelian groups to “modules over PIDs” (essentially generalized vector spaces). Smith Normal Form is a reduced form similar to the row reduced matrices encountered in Add to Reading List Source URL: www.cs.uleth.ca Language: English - Date: 2000-11-03 01:05:21 Algebraic structures Geometric group theory Finitely-generated abelian group Abelian group Generating set of a group Group Finitely-generated module Free abelian group Abstract algebra Algebra Group theory

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