V63.0343 Algebra 1, Fall 2010 Final Exam: Takehome Portion
Your Name N-Number
Ravi Kundalia N16343237
This exam will be due at the time of the final exam, which will be held Tuesday, December 21 , Room 312 Warren Weaver (tentative location) The final exam
Notes: F.P. Greenleaf, 2000-2010
v43-f10trgps.tex, version 11/5/10
Algebra I: Chapter 4. Transformation Groups 4.1 Actions of a Group G on a Space X.
Let G be a group and X a set. 4.1.1 Definition. A group action is a map : G X X that assigns to each pair
Notes: F.P. Greenleaf c 2000 - 2010
v43-f10sn.tex, version 11/11/10
Algebra I: Chapter 5. Permutation Groups 5.1 The Structure of a Permutation.
The permutation group Sn is the collection of all bijective maps : X X of the set X = cfw_1, 2, . . . , n, wit
Notes: c F.P. Greenleaf, 2000-2010
v43-f10sets.tex (version 9/01/10)
Algebra I Chapter 1. Basic Facts from Set Theory 1.1 Glossary of abbreviations.
Below we list some standard math symbols that will be used as shorthand abbreviations throughout this cour
Notes: c F.P. Greenleaf 2003 - 2010
v43-f10products.tex, version 12/1/10
Algebra I: Chapter 6. The structure of groups. 6.1 Direct products of groups.
We begin with a basic product construction. 6.1.1 Definition (External Direct Product). Given groups A1
Notes: c F.P. Greenleaf, 2000-2010
v43-f10integers.tex (version 9/29/10)
Algebra I Section 2: The System of Integers 2.1 Axiomatic definition of Integers.
The first algebraic system we encounter is the integers. In this note we list the axioms that determ
Notes: F.P. Greenleaf, c 2000-2010
v43-f10groups.tex, version 10/18/10
Algebra I: Chapter 3. Group Theory 3.1 Groups.
A group is a set G equipped with a binary operation mapping G G G. Such a "product operation" carries each ordered pair (x, y) in the Car
ABSTRACT ALGEBRA: A STUDY GUIDE FOR BEGINNERS
John A. Beachy Northern Illinois University 2006
2 This is a supplement to
Abstract Algebra, Third Edition by John A. Beachy and William D. Blair ISBN 1577664344, Copyright 2005 Waveland Press, Inc. 4180 IL Ro