Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.
|
|
Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Topic:
How to show a group is a subgroup of A_14?
Replies:
1
Last Post:
Dec 21, 2007 11:13 AM
|
 |
|
|
How to show a group is a subgroup of A_14?
Posted:
Dec 21, 2007 10:25 AM
|
|
Greetings,
Problem: I want to show that a simple group G of order 4*3*7*13 must be isomorphic to a subgroup of A_14 (the alternating group of 14 letters).
Attempt: It is easy to show that there are 14 sylow 13-subgroups. And so G act by conjugation on its sylow 7-subgroups with a trivial kernel (since G is simple). This shows that G is a subgroup of S_14 (the symmetric group of 14 letters). What's the next step? Thanks in advance.
|
|
|
|