####################################################################### # # SISYPHOS - Computing in modular group algebras of p-groups # # Version 0.5 # # Martin Wursthorn # Mathematisches Institut B, 3.Lehrstuhl # Universitaet Stuttgart # ####################################################################### 1. Introduction SISYPHOS is a program package developped to compute with p-groups and their modular group algebras. It originated in an implementation of an algorithm by Roggenkamp, Scott and the author to test such group algebras for isomorphisms. This algorithm has been modified and improved to be applicable to p-groups as well. The following features are incorporated in the current implementation: features dealing with modular group algebras of p-groups: Symbolic computations with elements, computation of centre, centralizers, lie ideals, computing with subspaces and ideals, isomorphism tests for such group algebras, computation of a polycyclic presentation of the normalized units group, features dealing with p-groups: (outer) automorphisms of polycyclically presented p-groups, isomorphisms between two polycyclically presented groups or a freely presented and a polycyclically presented group, tests for isomorphisms between two polycyclically presented groups or a freely presented and a polycyclically presented group, several output formats are supported (generators, element lists, polycyclic presentations for normalized automorphism groups) The package can be used either as a GAP shared library via a special interface that allows the program to be called from within GAP by special GAP functions (see GAP documentation) or as a standalone program with its own user interface. The first possibility only allows access to the routines dealing with p-groups, but has the advantage that the results can be processed by GAP without any conversions. The second possibility gives access to all features of SISYPHOS, but though it is still possible to have some of the routines produce output in a GAP compatible format, you will have to reformat the output in general to resue it in some other computer algebra package. Like GAP, the standalone version of SISYPHOS is an interactive system controlled by a command language. this command language, called 'Lapidar' is rather simple and does not yet support any structures that alter the flow of control, like branching instructions and loops. This language is described in the SISYPHOS manual. The following instructions refer to the standalone version only. If you want to install SISYPHOS as GAP shared library, follow the instructions in the GAP manual. 2. Implementation SISYPHOS is written in ANSI-C and should run on every UNIX system (and some non-UNIX systems) that provides an ANSI-C compiler (e.g. GNU cc). Compilers keeping to the old C standard will not be able to compile the sources. Up to now SISYPHOS has been ported by myself to the following platforms: IBM RS6000 under AIX 3.2, native compiler, HP9000 73x under HP-UX 8.0/9.0, native compiler, PC386/486 under Linux, GNU C, PC386/486 under DOS or OS/2, emx, ATARI ST/TT under TOS, GNU C, ATARI ST/TT under TOS, PureC There implementations on several other platforms by other people. 3. Getting the sources The sources for SISYPHOS, several group libraries and additional programs are available via anonymous ftp from the machine 'darfnix.mathematik.uni-stuttgart.de' (129.69.116.154) In the directory 'pub/sisyphos' on this machine there is a compressed tar-file 'sisyphos.x.y.z.tar.Z' which contains the complete package. 'x.y.z' denotes the version number, make sure you get the archive with the highest number, since the directory may contain also older versions. If you have already installed a former version of SISYPHOS there may the possibility to upgrade this version using the files 'sis.x1.y1.z1-x2.y2.z2.patch', if there are such files (for major upgrades this will not be the case). These are input files for the 'patch' program that upgrade the sources from version 'x1.y1.z1' to 'x2.y2.z2'. You may have to apply several of these patch files to upgrade your system to the actual version level. 4. Installation Before you extract the sources you should create a directory which will take up the complete package and move the SISYPHOS archive file into this directory. This applies also to the patch files you may need. In the sequel I will refer to this directory as the SISYPHOS-directory and call it 'sis' in the examples though its name is arbitrary. SISYPHOS must know about the location of this directory in order to find the libraries and to know where to put intermediate files. This can be accomplished in two ways: a) Define an environment variable called 'SISLIB' that points to the SISYPHOS-directory, e.g. by the commands 'export SISLIB=$HOME/sis/' (sh,ksh,bash etc.) or 'setenv SISLIB $HOME/sis/' (csh,tcsh). b) Create a shell script for the invocation of SISYPHOS that calls the program with the '-l' option specifying the correct path. This script could look like #!/bin/sh exec /usr/local/sis/src/sis -l /usr/local/sis/ $* Note the trailing '/' in the specification of the path! After this preparations you are ready to extract the archive by a command like 'zcat sisyphos.0.5.1.tar.Z | tar xpvf -' (standard tar) or 'tar zpxvf sisyphos.0.5.1.tar.Z' (GNU tar). This will create the following subdirectories 'src': contains all the C source files of SISYPHOS along with the test script and a file with the correct output of the test script. 'doc': the SISYPHOS manual as TeX '.dvi' file and as postscript file with exitension '.ps'. 'ideal': is the directory for the intermediate files generated by the 'lift' command. (Consult the manual for details) 'groups': is the library directory containing files with presentations for p-groups. Now cd to the 'src' directory and execute 'make'. You will see a list of machine - operating system - compiler configurations for which the installation of SISYPHOS can be done almost automatically. This means that you simply have to type 'make <target>', where '<target>' is one of the three -- part entries in the list to create an executable image of SISYPHOS provided there is a '<target>' in the list that reflects your local setup. Currently the following configurations are supported directly: 'hp700-hpux-gcc2' - for HP9000/7xx machines under HP--UX with GNU cc 2, 'hp700-hpux-cc' - for HP9000/7xx machines under HP--UX with cc, 'ibm6000-aix-cc' - for IBM RS6000 under AIX 3.x with cc, 'ibmpc-linux-gcc2' - for IBM 386/486 PCs under Linux with GNU cc 2, 'ibmpc-emx-gcc2' - for IBM 386/486 PCs under DOS or OS/2 with emx, 'generic-unix-gcc2' - for other UNIX machines with GNU cc 2 For most machines with the GNU compiler installed the last target should work. If you do not have GNU C but your native C compiler is ANSI--compatible you should try to use the last target. As mentioned above, SISYPHOS also runs on some non-UNIX machines (ATARI ST/TT, PC 386/486 under DOS or OS/2). For these machines the executable image will be distributed and can be obtained from the same place as the sources. It should be copied into the 'src' directory. After the installation and the tests however you can remove the contents of the 'src' subdirectory on those machines except the executable itself. In any case an executable image named 'sis' ( or 'sis.exe' or 'sis.ttp' ) will have been created in the 'src'-directory. At this point you should test the program. The distribution contains a test script 'testsis' that you should execute by simply typing its name. It will perform some calculations and compare the results to the correct ones in the file 'testsis.out'. Apart from differing informations about the memory used by SISYPHOS there should be no further output from 'testsis'. Note however that this will work only on UNIX machines! If it passes this test you may want to make the system publicly accessible. The best way to do this is to create a shell script as described at the beginning of this section and install this script in a directory where executables on your machine are kept like '/usr/bin' or '/usr/local/bin'. You will need superuser priviledge to do this. Furthermore you should produce a printed copy of the manual using one of the supplied files in the 'doc' subdirectory. How this can be accomplished is site dependent. 5. Contact address In any case of difficulties whether with the installation or the usage of SISYPHOS, especially if you encounter any bugs send an email to the following address 'pluto@machnix.mathematik.uni-stuttgart.de' It is very helpful if you include a copy of the input that produced the bug and the (erroneous) output of SISYPHOS. Moreover any form of constructive criticism is welcome. The program in its current state is by no means finished but is developped further permanently. Martin Wursthorn Mathematisches Institut B 3. Lehrstuhl Universitaet Stuttgart 70550 Stuttgart Tel.: +49 (0)711 685 5517 Fax.: +49 (0)711 685 5322
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