Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

groups and geometry

This class was created by Brainscape user Caleb Pleavin. Visit their profile to learn more about the creator.

By: Caleb Pleavin
Start Studying

Decks in this class (12)

1) Groups and Symmetry
What is a binary operation,
What does it mean to be associative,
What is the identity and inverse ...
13  cards
2) Subgroups and Homomorphisms
What is the trivial subgroup,
What is a proper subgroup,
How does the identity element of ...
23  cards
3) Order and other Group Theory Properties
What is the order of a group,
What are the orders of the cyclic...,
What is the order of an element o...
18  cards
4) Cosets and Index
What is a coset,
Under what condition is a subgrou...,
When does a left coset of a subgr...
19  cards
5) Group Actions
What is a group action,
How are group actions and homomor...,
What is an orbit
16  cards
6) Conjugacy
What is the conjugacy action of a...,
What are conjugacy classes and co...,
How do general properties of grou...
12  cards
7) Normal Subgroups and Factor Groups
What is a normal subgroup,
What characterises a normal subgr...,
What properties do all subgroups ...
17  cards
8) More on permutations
How can every permutation in sn b...,
What are even odd permutations,
What is the alternating group of ...
12  cards
9) Euclidean Space and Isometries
How should vectors be handled wit...,
How does changing the basis affec...,
What is the inner product of two ...
50  cards
10) Finite subgroups of isometries
What does it mean for two subgrou...,
How does averaging the orbit of a...,
What are the two types of subgrou...
5  cards
11) Wallpaper Patterns
What is a lattice,
What is the rank of a lattice,
What is the rank of
21  cards
12) The Riemann Sphere and Mobius Transformations
How are multiplication and transl...,
How is the map f z 1 z extended to,
What is the mobius transformation
8  cards

More about
groups and geometry

  • Class purpose General learning

Learn faster with Brainscape on your web, iPhone, or Android device. Study Caleb Pleavin's Groups and Geometry 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.

Learn more about spaced repetition

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?

Group 17
  • 45 decks
  • 692 flashcards
  • 5 learners
Decks: 4 25, 4 26, 4 27, And more!
Geometry
  • 11 decks
  • 306 flashcards
  • 33 learners
Decks: Chapter 1, Chapter2, Chapter 3, And more!
Group 608
  • 16 decks
  • 542 flashcards
  • 7 learners
Decks: Group 608 Vocabulary Day 01, Group 608 Vocabulary Day 02, Group 608 Vocabulary Day 03, And more!
Find Flashcards
Make Flashcards
Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions