[GAP Forum] quastion

[Ellis, Grahamj]

Hi Taleea,

A very naive implementation of the nilpotent multiplier M^(c)(G) is available under the name BaerInvariant(G,c).

The following commands calculate the nilpotent multiplier for the dihedral group G of order 64 and c=3. The multiplier is the finite abelian group Z_2+Z_2+Z_8 .

gap> LoadPackage("HAP");;
gap> c:=3;;BaerInvariant(DihedralGroup(64),c);
[ 2, 2, 8 ]

See file:///home/graham/pkg/Hap1.11/www/SideLinks/About/aboutSchurMultiplier.html for some more details and calculations on infinite groups.

All the best,

Graham

School of Mathematics, Statistics & Applied Mathematics
National University of Ireland, Galway
University Road,
Galway
Ireland

http://hamilton.nuigalway.ie
tel: 091 493011
________________________________________
From: forum-bounces at gap-system.org [forum-bounces at gap-system.org] on behalf of Alexander Konovalov [alexander.konovalov at st-andrews.ac.uk]
Sent: Friday, September 30, 2016 3:23 PM
To: taleea jalaeeyan
Cc: GAP Forum
Subject: Re: [GAP Forum] quastion

Dear Taleea Jalaeeyan,

> On 29 Sep 2016, at 09:04, taleea jalaeeyan <jalaeeyan at gmail.com> wrote:
>
> Hi there
> Is Gap work on windows or linux?is there diference ?

GAP works on Windows, Linux, and OS X - archives for different operating
systems are at http://www.gap-system.org/Releases/index.html

On Windows, some specialised packages are not available, but that will
be more than sufficient to start to use GAP.

> is c-nilpotent multiplier defined for Gap as default?

Not as far as I am aware of (only some functionality to deal with the
Schur multiplier)

> Can Gap calculate the c-nilpotent multiplier of a group by it's
> presentation?
> Is there any sample program of Gap to calculate c-nilpotent multiplier of
> group?

Again, I don't know. It may be helpful to provide a reference for its
definition in case someone else may be able to give further advice.

Hope this helps
Alexander



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