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"Alexander B. Konovalov" wrote:
Dear forum,
>If I have a group created by the set of generators and an element of =
this
>group, how can I express this element via this particular set of =
generators
>?
Dear Alexander, dear Forum,
The answer is quite simple: you can use the function
Factorization( G, <elm>), where G is the group you consider
and <elm> is the respective element. For more details please
have a look at the Manual. You can also use on-line help
just typing ?Factorization.
I think such a question should be forwarded to GAP-trouble,
not to GAP-Forum.
Best wishes, Vitaliy Mysovskikh -------------------------------------------------------------------------= ------------------
Vitaliy Ivanovich Mysovskikh
Associate Prof, PhD
Department of Mathematics and Mechanics
St. Petersburg State University
Bibliotechnaja Pl. 2, St. Petersburg 198904, RUSSIA
E-mail: vimys@pdmi.ras.ru -------------------------------------------------------------------------= ----------------- ------=_NextPart_000_0012_01C04755.16252820 Content-Type: text/html; charset="koi8-r" Content-Transfer-Encoding: quoted-printable <!DOCTYPE HTML PUBLIC "-//W3C//DTD W3 HTML//EN"> <HTML> <HEAD> <META content=3Dtext/html;charset=3Dkoi8-r http-equiv=3DContent-Type> <META content=3D'"MSHTML 4.72.3110.7"' name=3DGENERATOR> </HEAD> <BODY bgColor=3D#ffffff> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>"Alexander = B.=20 Konovalov" wrote:</FONT></DIV> <DIV> </DIV> <DIV> </DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>>Dear = forum,</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" = size=3D2></FONT> </DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>>If I have a = group created=20 by the set of generators and an element of this<BR>>group, how can I = express=20 this element via this particular set of generators<BR>>?</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" = size=3D2></FONT> </DIV> <DIV> </DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>Dear Alexander, = dear=20 Forum,</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" = size=3D2></FONT> </DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>The answer is = quite simple: you=20 can use the function</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>Factorization( G, = <elm>),=20 where G is the group you consider</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>and <elm> = is the=20 respective element. For more details please</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>have a look at = the Manual. You=20 can also use on-line help</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>just typing=20 ?Factorization.</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" = size=3D2></FONT> </DIV> <DIV><FONT face=3D"Arial Cyr" size=3D2>I think such a question should be = forwarded=20 to GAP-trouble,</FONT></DIV> <DIV><FONT face=3D"Arial Cyr" size=3D2></FONT><FONT color=3D#000000 = face=3D"Arial Cyr"=20 size=3D2>not to GAP-Forum.</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" = size=3D2></FONT> </DIV> <DIV><FONT face=3D"Arial Cyr" size=3D2>Best=20 wishes, = =20 Vitaliy Mysovskikh</FONT></DIV> <DIV> </DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr"=20 size=3D2>----------------------------------------------------------------= ---------------------------</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2><BR>Vitaliy = Ivanovich=20 Mysovskikh<BR>Associate Prof, PhD<BR>Department of Mathematics and=20 Mechanics<BR>St. Petersburg State University<BR>Bibliotechnaja Pl. 2, = St.=20 Petersburg 198904, RUSSIA</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" = size=3D2></FONT> </DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" size=3D2>E-mail: <A=20 href=3D"mailto:vimys@pdmi.ras.ru">vimys@pdmi.ras.ru</A></FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr"=20 size=3D2>----------------------------------------------------------------= --------------------------</FONT></DIV> <DIV><FONT color=3D#000000 face=3D"Arial Cyr" = size=3D2></FONT> </DIV> <DIV> </DIV></BODY></HTML> ------=_NextPart_000_0012_01C04755.16252820--
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