I've written a short (14-page) primer on using basic group theory
commands in SAGE.  It is available in the "Sage Documentation Project"
area of the wiki, and via direct links below.

The purpose is to help students (and faculty) in an introductory group
theory course get started using the appropriate commands in SAGE for
studying groups.  So all the groups are represented as permutation
groups, the examples are relatively small, and the ordering of topics
might parallel the way a standard course would proceed.  There is a
table at the end with a SAGE construction of every group with 15 or
fewer elements.

It is not meant to be a gee-whiz demonstration of SAGE's power, or to
show the most efficient means of doing every computation.  It assumes
no knowledge of Python, but anybody who works through it will learn
some Python, perhaps without realizing it.  My broader purpose is
subversive - to promote the uptake of SAGE with a demonstration of its
value in teaching undergraduates.

I am also using this as a test case for a LaTeX to Sage-Worksheet
conversion process.  (Give the worksheet a look, with its live
executable cells).   I will post to sage-devel about the technical
portion of this project.  Here in sage-edu, I welcome comments,
corrections and suggestions about the content.  I hope folks find this
useful.

Rob

http://buzzard.ups.edu/sage/sage-group-theory-primer.sws
http://buzzard.ups.edu/sage/sage-group-theory-primer.pdf
http://buzzard.ups.edu/sage/sage-group-theory-primer.tex
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