This class was created by Brainscape user Luca Kollmer. Visit their profile to learn more about the creator.
By:
Luca Kollmer
- decks
- flashcards
- learners
Decks in this class (10)
III. Groups, Cosets, and Lagrange's Theorem
Definitionleft and right cosets,
Lemma iii13cosets are equal iff,
Definitionleft and right index of...
11
cards
IV. Homomorphisms and Normal Subgroups
Definitionconjugatenormal subgroup,
Lemma iv13equivalences to normal ...,
Lemma iv18if h subgroup of index 2
18
cards
V. Group Presentations
Definitiond_2n the dihedral group...,
Theorem v11if n 3 then d_2n,
Lemma v12if a in d_ 2n and a 1 1 ...
12
cards
VI. More on Classification of Groups
Definitionpairwise commuteindepen...,
Theorem vii11if g1 gn pairwise co...,
Definitionexponent of group
7
cards
VII. Group Actions
Definitionleft and right actions,
Lemma vii15equivalence relation u...,
Definitionorbitfixed point and se...
17
cards
VIII. Rings
Definitionunit in ringunit group,
Definitiongaussian integersnorm map,
Lemma viii21n ab
11
cards
IX. Factorisation in Integral Domains
Definitiondivision in integral do...,
Lemma ix11a b iff,
Definitionirreducible
12
cards
X. Principal Ideal Domains
Definitionideal of ring,
Lemma x11an ideal i r iff,
Definitionsum of idealsproduct of...
20
cards
XI. Modules
Theorem x65every pid isa ufd,
Definitionr module,
Definitionr submodule
26
cards
Exercises
11using euclid s algorithm comput...,
If g p prime show that g is cyclic,
23let g be abelian with square fr...
33
cards
More about
MA268 Algebra 3
- Class purpose General learning
Learn faster with Brainscape on your web, iPhone, or Android device. Study Luca Kollmer's MA268 Algebra 3 flashcards now!
How studying works.
Brainscape's adaptive web mobile flashcards system will drill you on your weaknesses, using a pattern guaranteed to help you learn more in less time.
Add your own flashcards.
Either request "Edit" access from the author, or make a copy of the class to edit as your own. And you can always create a totally new class of your own too!
What's Brainscape anyway?
Brainscape is a digital flashcards platform where you can find, create, share, and study any subject on the planet.
We use an adaptive study algorithm that is proven to help you learn faster and remember longer....
Looking for something else?
Pre-Algebra
- 8 decks
- 280 flashcards
- 130 learners
Decks:
Chapter 1 Terms, Chapter 7 Terms, Chapter 2 Terms, And more!
