GroupAnalyzer.sea.hqx

                          Group Analyzer ver 5.0 and 5.01
                           Dr. Paul G. Glenn
                       Department of Mathematics
                    Catholic University of America
                         Washington, DC 20064
                            glenn@cua.edu

This program is designed as an aid for a sophomore/junior level course for
mathematics majors usually called "Abstract Algebra."  It is a convenient
tool for experimenting with groups.  Several groups are included, and there are
supplementary programs to construct (and save to file) different groups. The
user opens a group then can work on individual elements or on subsets of the
elements.  The group operations include subgroup generated by a subset, the
normalizer, centralizer, and normal closure of a subgroup, conjugation, display
of the conjugacy classes of the elements of a given subset, raising all
elements of a given subset to a given power, multiplying arbitrary subsets, and
inverting elements of a subset.

There are also structural calculations.  These include the commutator subset,
all conjugacy classes, the (left) cosets of a specified subgroup, the center of
the group, the set of all elements having a specified order, and more.

The "working area" is a stack, and appropriate stack operations can be
performed from menu bar selections.  There also a feature that allows for
creation of a journal as you perform the experiments.

Documentation includes  a collection of activities, a tutorial and a guide,
all in TeX format.

The program was tested on a PowerBook 5300ce running system 8.5.1 and no
difficulties were encountered.

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Location in Mathematics Archives:
  Anonymous FTP:  /mac/modernAlgebra

  Gopher:
    (First select "Software" then "Macintosh software arranged
     by subjects")
                  Modern Algebra / GroupAnalyzer

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