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 - Row vector - Document - PDFSEARCH.IO

First Page		Document Content
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		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 Download Document from Source Website File Size: 84,32 KB Share Document on Facebook

	Hecke module structure of quaternions David R. Kohel Abstract The arithmetic of quaternions is recalled from a constructive point of view. A Hecke module is introduced, defined as a free abelian group on right ideal clas DocID: 1sCma - View Document
	APPROXIMATING L2 -INVARIANTS AND HOMOLOGY GROWTH arXiv:1203.2827v3 [math.AT] 17 Oct 2012 ¨ DocID: 1qgRw - View Document
	THE BRAUER-MANIN OBSTRUCTION FOR SUBVARIETIES OF ABELIAN VARIETIES OVER FUNCTION FIELDS ´ FELIPE VOLOCH BJORN POONEN AND JOSE Abstract. We prove that for a large class of subvarieties of abelian varieties over global fu DocID: 1pjIt - View Document
	ON GENERATORS OF CRYSTALLOGRAPHIC GROUPS AND ACTIONS ON FLAT ORBIFOLDS A. ADEM∗ , K. DEKIMPE† , N. PETROSYAN∗∗ , AND B. PUTRYCZ† Abstract. We find new bounds on the minimal number of generators of crystallograp DocID: 1oDPm - View Document
	SUBSEQUENCE SUMS OF ZERO-SUM FREE SEQUENCES OVER FINITE ABELIAN GROUPS YONGKE QU, XINGWU XIA, LIN XUE, AND QINGHAI ZHONG Abstract. Let G be a finite abelian group of rank r and let X be a zero-sum free sequence over G wh DocID: 1lRbe - View Document