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<TITLE>GAP Package "CRISP"</TITLE>

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<H1>

  <IMG src="logo.png" alt="CRISP">

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<H2>
A GAP 4 package for <BR>
Computing with Radicals, Injectors<BR>
Schunck classes and Projectors<BR>
of finite soluble groups
</H2>



<DL> 
<DT>Author:

<DD>    <a href="http://www.icm.tu-bs.de/~bhoeflin/">Burkhard H&ouml;fling</A>,
e-mail: firstinitial.lastname@tu-bs.de replacing &ouml; by oe
<BR>
<DT>Language:

<DD>    GAP (requires at least Version 4.5) <BR>

<DT>Operating System:

 <DD>    any <BR>

<DT>Current version:
 <DD>    CRISP_VERSION

<DT>Download:

 <DD>    <A href="crisp-CRISP_VERSION.tar.bz2">crisp-CRISP_VERSION.tar.bz2</a> in .tar.bz2 format <BR>
     Other formats available from <a href="http://www.gap-system.org/Packages/crisp.html">the CRISP page on the main GAP server.</a></EM>

<DT>Home page:

 <DD><a href="http://www.icm.tu-bs.de/~bhoeflin/crisp/index.html">http://www.icm.tu-bs.de/~bhoeflin/crisp/index.html</A>

</DD>

<DT>

    CRISP manual

</DT>

<DD> Available in <A href="http://www.gap-system.org/Manuals/pkg/crisp/html/chapters.htm">HTML</A> format
     <A href="http://www.gap-system.org/Manuals/pkg/crisp/doc/manual.pdf">Adobe Acrobat PDF</A> format
     </DD>
     
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<H2>

    Description

</H2>


<P>
The GAP package CRISP provides algorithms for computing subgroups of
finite soluble groups related to group classes. In particular, it allows to compute <B>F</B>-radicals and <B>F</B>-injectors for Fitting classes (and Fitting sets) <B>F</B>, <B>F</B>-residuals for formations <B>F</B>, and <B>X</B>-projectors for Schunck classes <B>X</B>. In order to carry out these computations, the group
classes <B>F</B> and <B>X</B>must be given by an
algorithm which decides membership in the group class. </P>

<P>Moreover, CRISP contains algorithms for the computation of normal subgroups 
invariant under a prescribed set of automorphisms and belonging to a given 
group class. This includes an improved method to compute the set of all normal subgroups 
of a finite soluble group, its characteristic subgroups, and the socle and 
<i>p</i>-socles for given primes <i>p</i>.</P>


<ADDRESS>
Author: Burkhard H&ouml;fling<BR>
Last modified: CRISP_DATE
</ADDRESS>

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