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Group Theory

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

By: James Anderson
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Decks in this class (9)

Definitions and theorems
What are the 4 things needed to b...,
What is the subgroup criterion,
What is lagrange theorem
23  cards
Chapter 2 SUBGROUPS
A g,
A gh,
What is centralizer of s in g
14  cards
Chapter 4 CONJUGACY
Conjugate of s,
Conjugacy class of s,
S
17  cards
Chapter 5 GROUP ACTIONS
What does it mean if g acts on,
Suppose is a g set g,
If is a g set then is the
13  cards
Chapter 6 FINITELY GENERATED ABELIAN GROUPS
A group is fg if,
Zn x zm is isomorphic to znm,
Classification theorem for finite...
6  cards
Normal subgroups and homomorphisms
Normal subgroup if,
If g is abelian all subgroups of ...,
If g is a group n g n z g then n is
10  cards
Simple groups and JH theorem
G is simple if,
Commutator of n and g,
If n greater or equal to 3 then
13  cards
Sylow's theorems
P prime g p r m then,
Sylp g denotes,
Np
6  cards
Extension material
Commutator,
X y 1,
If x g y h
15  cards

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Group Theory

  • Class purpose General learning

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