Abstract Algebra IBL Wiki

User Tools

Site Tools

Trace:
josh_s_outline

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision 		Previous revision
josh_s_outline [2013/08/13 09:52]
joshuawiscons 		josh_s_outline [2013/08/21 10:17] (current)
joshuawiscons
Line 1: Line 1:
 ====== Josh's outline ====== ====== Josh's outline ======
  
-==== Introduction ====+===== Introduction =====
 The goal is to produce a set of IBL notes that works from the definition of a [[Definition:Group|group]] to [[Theorem:Sylow's Theorem]]. The primary point of view will be that of [[Definition:Permutation Group|permutation groups]] with the abstract definition of a [[Definition:Group|group]] being preceded by exploring concrete examples of [[Definition:Automorphism Group|automorphism groups]]. The goal is to produce a set of IBL notes that works from the definition of a [[Definition:Group|group]] to [[Theorem:Sylow's Theorem]]. The primary point of view will be that of [[Definition:Permutation Group|permutation groups]] with the abstract definition of a [[Definition:Group|group]] being preceded by exploring concrete examples of [[Definition:Automorphism Group|automorphism groups]].
  
 ---- ----
  
-==== Prerequisites ====+===== Prerequisites =====
   * Linear algebra   * Linear algebra
 +
  
 ---- ----
  
-==== The outline ====+===== The outline =====
  
-=== First definitions and examples === +==== First definitions and examples ====
-  * Problem: exploration +
-  * Definition: symmetric group  +
-  * Definition: automorphism group +
-  * {{page>problem:Aut-square&firstseconly&noeditbutton&nofooter}} +
-  * [[problem:Aut-square|Problem: automorphisms of a square]]+
  
-----+{{page>problem:Simple Matrix Encryption#problem&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>definition:Symmetric group#definition&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>problem:Diagramatic representation of Sn#problem&link&noeditbutton&nofooter&inline}}  
 + 
 +{{page>definition:Automorphism of a graph#definition&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>problem:Aut-square#problem&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>definition:Group#definition&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>problem:Explicit examples of abstract groups#problem&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>definition:Order (for groups)#definition&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>definition:Abelian group#definition&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>definition:Subgroup#definition&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>problem:Examples of abstract groups#problem&link&noeditbutton&nofooter&inline}} 
 + 
 +{{page>theorem:Intersection of subgroups is a subgroup#theorem&link&noeditbutton&nofooter&inline}}
josh_s_outline.1376401943.txt.gz · Last modified: 2013/08/13 09:52 by joshuawiscons

Page Tools

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
CC Attribution-Share Alike 4.0 International Donate Powered by PHP Valid HTML5 Valid CSS Driven by DokuWiki