report this ad
Random Quiz
Quizzes
Featured
Popular
Type
Ratings
Favorites
Difficulty
Length
Date
Guides
Categories
Overview
Sports
Geography
Music
Movies
Television
Just For Fun
Miscellaneous
History
Literature
Language
Science
Gaming
Entertainment
Religion
Holiday
Quiz Lab
Summary
Popular
Recent
Games to Consider
Editor Picks
Curator Picks
Create
Dashboard
Create a Quiz
Playlist Dashboard
FAQ
Creation Guides
Groups
Popular
Your Groups
Sporcle News
Recent Discussions
Achievements
All Badges
Newest
Oldest
Leaderboards
Sporcle Live
Overview
Locations & Scores
Leagues
Theme Nights
Pub Owners
Private Events
Contact
Become a Host
x
Group Theory
Random
Science
or
math
Quiz
Can you name the answers to these questions?
by
mockeldritch
Quiz not verified by Sporcle
Popular Today
Click the Cartoon Silhouette
9,463
Find the US States - No Outlines Minefield
8,570
Movie by Difficulty VI
7,840
Single-Vowel Type Countries
7,755
30 Second Logic Puzzle
5,149
And more...
plays
Rate 5 stars
Rate 4 stars
Rate 3 stars
Rate 2 stars
Rate 1 star
How to Play
Click the green button to start and enter the correct answers below
Here is a random selection of questions relating to theorems of group theory for you to answer.
Share
Tweet
Email
Embed
Score
0
/17
ll
Timer
10:00
Play
Challenge
Enter answer:
You got
%
Avg Score
%
Try Again
Share Results
Quiz Stats
Play Another
Clue
Answer
Name of theorem stating that the order of any subgroup of a group G is always a proper divisor of the order of G
The regions of a figure unchanged by two conjugate symmetry operations are related by another symmetry of the figure
Normal subgroups must be unions of which partitioning of the group
Only has normal subgroups
One way to define a normal subgroup...
...and another...
...a third way
Group of all permutations of even order
Number of subgroups of a finite group of prime order
Clue
Answer
If g = (12)(345)(67) and k = (174325), find gkg-1
Theorems establishing the existence of subgroups with orders that are prime factors of the order of the group
Groups that are also differential manifolds
Category of group whose only normal subgroups are {e} and the group itself
Type of group with at least one member with the same order as the full group
Dual entity to subgroups; any normal subgroup generates one of these
Credited with originating group theory
Relation f: G->H between two groups (G,*), (H,~) such that f(g1 * g2) = f(g1) ~ f(g2)
report this ad
You're not logged in!
Compare scores with friends on all Sporcle quizzes.
Connect with Facebook
Connect with Google
Sign Up with Email
OR
Log In
Remember Me
Forgot?
Log In
You Might Also Like...
Lanthanide Elements
Factor Frenzy
X is for Xplosion
(warning: may contain spoilers)
Show Comments
Extras
Report
Nominate
Tags:
math
,
abstract
,
algebra
,
group
report this ad
Go to the Sporcle.com Mobile Site →

## Show Comments