Drexel dragonThe Math ForumDonate to the Math Forum


Math Forum
 Ask Dr. Math
 Discussions
 Internet Newsletter
 MathTools
 Problems of the Week
 Teacher2Teacher
 Teacher Exchange
 Workshops

Search All of the Math Forum:
Browse our Internet Mathematics Library

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Let G be a group , N a normal subgroup of G
Replies: 13   Last Post: Feb 6, 2013 6:11 AM

Advanced Search
Reply to this Topic Reply to this Topic

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Ken.Pledger@vuw.ac.nz

Posts: 1,269
Registered: 12/3/04
Re: Let G be a group , N a normal subgroup of G
Posted: Feb 5, 2013 3:46 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<692dbadf-ec9e-40cf-a2a3-9348d0aedad7@fv9g2000vbb.googlegroups.com>,
Dan <dan.ms.chaos@gmail.com> wrote:

> Does there always exist a subgroup H of G such that G = NH , and
> (H intersection N) = the identity element?


You've had the general answer "no", but the situation you describe is
quite significant. Such a group G is called a "split extension" or a
"semi-direct product". You may like to look up those terms.

Ken Pledger.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2013. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.