Generators of general linear group, Group$(GL(4,2))$ [closed]
0
I needed generators of the general linear group $GL(4,2)$, of $4times 4$ matrices over the field $mathbb{Z}_2.$ I tried in gap as follows
gap> GeneratorsOfGroup(GL(4,2));
[ an immutable 4x4 matrix over GF2, an immutable 4x4 matrix over GF2 ]
gap>
I can't read what are matrices of the group. I also want $5$ order elements of this group. Please help me. Thanks.
group-theory gap magma
edited Dec 27 '18 at 10:25
Shaun
8,807113680
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
closed as off-topic by Derek Holt, Jyrki Lahtonen, Paul Frost, Cesareo, amWhy Dec 28 '18 at 17:38
This question appears to be off-topic. The users who voted to close gave these specific reasons:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Paul Frost, Cesareo, amWhy
- "This question is not about mathematics, within the scope defined in the help center." – Derek Holt, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
0
I needed generators of the general linear group $GL(4,2)$, of $4times 4$ matrices over the field $mathbb{Z}_2.$ I tried in gap as follows
gap> GeneratorsOfGroup(GL(4,2));
[ an immutable 4x4 matrix over GF2, an immutable 4x4 matrix over GF2 ]
gap>
I can't read what are matrices of the group. I also want $5$ order elements of this group. Please help me. Thanks.
group-theory gap magma
edited Dec 27 '18 at 10:25
Shaun
8,807113680
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
closed as off-topic by Derek Holt, Jyrki Lahtonen, Paul Frost, Cesareo, amWhy Dec 28 '18 at 17:38
This question appears to be off-topic. The users who voted to close gave these specific reasons:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Paul Frost, Cesareo, amWhy
- "This question is not about mathematics, within the scope defined in the help center." – Derek Holt, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
Tryfor g in GeneratorsOfGroup(GL(4,2)) do Print(Display(g), "n"); od;.
– Shaun
Dec 27 '18 at 9:25
gens:=GeneratorsOfGroup(g);thenDisplay(gens[1]);orPrint(gens[1]);and similarly for generator 2.
– ahulpke
Dec 27 '18 at 9:26
I also want $5$ order elements of this group. Do you mean that you want all elements of order five? If so, it shouldbe a separate question, really, (as we like to keep the number of questions per post as one) and I think one of your previous questions might be adapted to answer it.
– Shaun
Dec 27 '18 at 10:22
2
I don't this forum should be used as a GAP manual. It is reasonable to ask how you can carry out some kind of interesting mathematical calculation, such as computing a Brauer character table, in GAP, but this is just a routine usage question.
– Derek Holt
Dec 27 '18 at 10:47
1
These matrices are compressed - GAP manual explains this here.
– Alexander Konovalov
Dec 27 '18 at 13:07
add a comment |
0
0
0
1
I needed generators of the general linear group $GL(4,2)$, of $4times 4$ matrices over the field $mathbb{Z}_2.$ I tried in gap as follows
gap> GeneratorsOfGroup(GL(4,2));
[ an immutable 4x4 matrix over GF2, an immutable 4x4 matrix over GF2 ]
gap>
I can't read what are matrices of the group. I also want $5$ order elements of this group. Please help me. Thanks.
group-theory gap magma
edited Dec 27 '18 at 10:25
Shaun
8,807113680
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
I needed generators of the general linear group $GL(4,2)$, of $4times 4$ matrices over the field $mathbb{Z}_2.$ I tried in gap as follows
gap> GeneratorsOfGroup(GL(4,2));
[ an immutable 4x4 matrix over GF2, an immutable 4x4 matrix over GF2 ]
gap>
I can't read what are matrices of the group. I also want $5$ order elements of this group. Please help me. Thanks.
group-theory gap magma
group-theory gap magma
edited Dec 27 '18 at 10:25
Shaun
8,807113680
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
edited Dec 27 '18 at 10:25
Shaun
8,807113680
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
edited Dec 27 '18 at 10:25
Shaun
8,807113680
edited Dec 27 '18 at 10:25
Shaun
8,807113680
edited Dec 27 '18 at 10:25
Shaun
8,807113680
8,807113680
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
asked Dec 27 '18 at 7:33
neelkanth
2,0992928
2,0992928
closed as off-topic by Derek Holt, Jyrki Lahtonen, Paul Frost, Cesareo, amWhy Dec 28 '18 at 17:38
This question appears to be off-topic. The users who voted to close gave these specific reasons:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Paul Frost, Cesareo, amWhy
- "This question is not about mathematics, within the scope defined in the help center." – Derek Holt, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Derek Holt, Jyrki Lahtonen, Paul Frost, Cesareo, amWhy Dec 28 '18 at 17:38
This question appears to be off-topic. The users who voted to close gave these specific reasons:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Paul Frost, Cesareo, amWhy
- "This question is not about mathematics, within the scope defined in the help center." – Derek Holt, Jyrki Lahtonen
If this question can be reworded to fit the rules in the help center, please edit the question.
Tryfor g in GeneratorsOfGroup(GL(4,2)) do Print(Display(g), "n"); od;.
– Shaun
Dec 27 '18 at 9:25
gens:=GeneratorsOfGroup(g);thenDisplay(gens[1]);orPrint(gens[1]);and similarly for generator 2.
– ahulpke
Dec 27 '18 at 9:26
I also want $5$ order elements of this group. Do you mean that you want all elements of order five? If so, it shouldbe a separate question, really, (as we like to keep the number of questions per post as one) and I think one of your previous questions might be adapted to answer it.
– Shaun
Dec 27 '18 at 10:22
2
I don't this forum should be used as a GAP manual. It is reasonable to ask how you can carry out some kind of interesting mathematical calculation, such as computing a Brauer character table, in GAP, but this is just a routine usage question.
– Derek Holt
Dec 27 '18 at 10:47
1
These matrices are compressed - GAP manual explains this here.
– Alexander Konovalov
Dec 27 '18 at 13:07
add a comment |
Tryfor g in GeneratorsOfGroup(GL(4,2)) do Print(Display(g), "n"); od;.
– Shaun
Dec 27 '18 at 9:25
gens:=GeneratorsOfGroup(g);thenDisplay(gens[1]);orPrint(gens[1]);and similarly for generator 2.
– ahulpke
Dec 27 '18 at 9:26
I also want $5$ order elements of this group. Do you mean that you want all elements of order five? If so, it shouldbe a separate question, really, (as we like to keep the number of questions per post as one) and I think one of your previous questions might be adapted to answer it.
– Shaun
Dec 27 '18 at 10:22
2
I don't this forum should be used as a GAP manual. It is reasonable to ask how you can carry out some kind of interesting mathematical calculation, such as computing a Brauer character table, in GAP, but this is just a routine usage question.
– Derek Holt
Dec 27 '18 at 10:47
1
These matrices are compressed - GAP manual explains this here.
– Alexander Konovalov
Dec 27 '18 at 13:07
Try
for g in GeneratorsOfGroup(GL(4,2)) do Print(Display(g), "n"); od;.– Shaun
Dec 27 '18 at 9:25
Try
for g in GeneratorsOfGroup(GL(4,2)) do Print(Display(g), "n"); od;.– Shaun
Dec 27 '18 at 9:25
gens:=GeneratorsOfGroup(g); then Display(gens[1]); or Print(gens[1]); and similarly for generator 2.– ahulpke
Dec 27 '18 at 9:26
gens:=GeneratorsOfGroup(g); then Display(gens[1]); or Print(gens[1]); and similarly for generator 2.– ahulpke
Dec 27 '18 at 9:26
I also want $5$ order elements of this group. Do you mean that you want all elements of order five? If so, it shouldbe a separate question, really, (as we like to keep the number of questions per post as one) and I think one of your previous questions might be adapted to answer it.
– Shaun
Dec 27 '18 at 10:22
I also want $5$ order elements of this group. Do you mean that you want all elements of order five? If so, it shouldbe a separate question, really, (as we like to keep the number of questions per post as one) and I think one of your previous questions might be adapted to answer it.
– Shaun
Dec 27 '18 at 10:22
2
2
I don't this forum should be used as a GAP manual. It is reasonable to ask how you can carry out some kind of interesting mathematical calculation, such as computing a Brauer character table, in GAP, but this is just a routine usage question.
– Derek Holt
Dec 27 '18 at 10:47
I don't this forum should be used as a GAP manual. It is reasonable to ask how you can carry out some kind of interesting mathematical calculation, such as computing a Brauer character table, in GAP, but this is just a routine usage question.
– Derek Holt
Dec 27 '18 at 10:47
1
1
These matrices are compressed - GAP manual explains this here.
– Alexander Konovalov
Dec 27 '18 at 13:07
These matrices are compressed - GAP manual explains this here.
– Alexander Konovalov
Dec 27 '18 at 13:07
add a comment |
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Try
for g in GeneratorsOfGroup(GL(4,2)) do Print(Display(g), "n"); od;.– Shaun
Dec 27 '18 at 9:25
gens:=GeneratorsOfGroup(g);thenDisplay(gens[1]);orPrint(gens[1]);and similarly for generator 2.– ahulpke
Dec 27 '18 at 9:26
I also want $5$ order elements of this group. Do you mean that you want all elements of order five? If so, it shouldbe a separate question, really, (as we like to keep the number of questions per post as one) and I think one of your previous questions might be adapted to answer it.
– Shaun
Dec 27 '18 at 10:22
2
I don't this forum should be used as a GAP manual. It is reasonable to ask how you can carry out some kind of interesting mathematical calculation, such as computing a Brauer character table, in GAP, but this is just a routine usage question.
– Derek Holt
Dec 27 '18 at 10:47
1
These matrices are compressed - GAP manual explains this here.
– Alexander Konovalov
Dec 27 '18 at 13:07