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Finitely generated abelian group
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1	arXiv:1007.0845v3 [math.KT] 15 MayOn the K- and L-theory of hyperbolic and virtually finitely generated abelian groups Wolfgang L¨ uck∗ Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2012-05-16 02:27:08 Algebra Abstract algebra Geometry Hyperbolic geometry Homological algebra Geometric group theory Algebraic number theory Combinatorics on words Abelian group Hyperbolic group Fuchsian group FarrellJones conjecture
2	Math. Ann. 325, 711–[removed]Mathematische Annalen DOI: [removed]s00208[removed] Add to Reading List Source URL: www.maths.ed.ac.uk Language: English - Date: 2009-08-06 07:30:01 Module theory Homological algebra Torsion Abelian group Cyclic group Algebraic K-theory Finitely-generated abelian group Projective module Abstract algebra Group theory Algebra
3	Algebra - Spring 2012 Daren Cheng Jesse Madnick Last updated: September 2013 Acknowledgments & Disclaimers Some of the solutions contained herein are my own, but many are not. I am indebted to Daren Cheng for sharing wit Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-07-04 08:19:56 Field theory Finite field Free abelian group Presentation of a group Noetherian ring Module theory Representation theory of finite groups Finitely-generated module Abstract algebra Algebra Ring theory
4	10. FINITELY GENERATED ABELIAN GROUPS §10.1. Finitely Presented Abelian Groups The group A, B, C \| A4 = B2 = 1, AB = BA, AC = CA, BC = CB is an example of a finitely-presented abelian group, but one which is writt Add to Reading List Source URL: web.science.mq.edu.au Language: English - Date: 2014-03-10 22:49:03 Niels Henrik Abel Finite groups Finitely-generated abelian group Abelian group Cyclic group Generating set of a group Module theory Abelian variety Free abelian group Abstract algebra Group theory Algebra
5	PDF Document Add to Reading List Source URL: www.ias.ac.in Language: English - Date: 2013-12-02 07:06:05 Commutator subgroup Nilpotent group Abelian group P-group Finitely-generated abelian group Central series Center Solvable group Representation theory of finite groups Abstract algebra Group theory Algebra
6	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-02-28 11:09:39 Homological algebra Niels Henrik Abel Surgery theory Module theory Abelian group Free abelian group Torsion subgroup Torsion Finitely-generated abelian group Abstract algebra Algebra Quadratic forms
7	Communication Lower Bounds and Optimal Algorithms for Programs That Reference Arrays — Part 1 (REVISED∗) Michael Christ†, James Demmel‡, Nicholas Knight§, Thomas Scanlon¶, and Katherine Yelickk September 3, 201 Add to Reading List Source URL: www.cs.berkeley.edu Language: English - Date: 2013-09-03 21:02:11 Group theory Abelian group Niels Henrik Abel Finitely-generated abelian group Torsion Matrix Vector space Abstract algebra Algebra Mathematics
8	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
9	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
10	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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