Has every finite group a minimal presentation?
For a finite group $G$ let $d(G)$ be the minimal number of generators of $G$ and let $r(G)$ be the minimal number such that $G$ has a finite presentation with $r(G)$ relators. Call a presentation with $d(G)$ generators and $r(G)$ relators a minimal presentation.
Question: Has every finite group a minimal presentation?
finite-groups conjectures group-presentation
edited Nov 29 at 21:58
Shaun
8,507113580
asked Oct 21 '12 at 3:44
Ralph
990413
add a comment |
For a finite group $G$ let $d(G)$ be the minimal number of generators of $G$ and let $r(G)$ be the minimal number such that $G$ has a finite presentation with $r(G)$ relators. Call a presentation with $d(G)$ generators and $r(G)$ relators a minimal presentation.
Question: Has every finite group a minimal presentation?
finite-groups conjectures group-presentation
edited Nov 29 at 21:58
Shaun
8,507113580
asked Oct 21 '12 at 3:44
Ralph
990413
4
This is an open question.
– user641
Oct 21 '12 at 4:08
I presume your question is means to read "Question: Has every finite group a minimal presentation ?" not representation. But I don't want to edit it, just in case...
– user1729
Oct 22 '12 at 12:05
add a comment |
For a finite group $G$ let $d(G)$ be the minimal number of generators of $G$ and let $r(G)$ be the minimal number such that $G$ has a finite presentation with $r(G)$ relators. Call a presentation with $d(G)$ generators and $r(G)$ relators a minimal presentation.
Question: Has every finite group a minimal presentation?
finite-groups conjectures group-presentation
edited Nov 29 at 21:58
Shaun
8,507113580
asked Oct 21 '12 at 3:44
Ralph
990413
For a finite group $G$ let $d(G)$ be the minimal number of generators of $G$ and let $r(G)$ be the minimal number such that $G$ has a finite presentation with $r(G)$ relators. Call a presentation with $d(G)$ generators and $r(G)$ relators a minimal presentation.
Question: Has every finite group a minimal presentation?
finite-groups conjectures group-presentation
finite-groups conjectures group-presentation
edited Nov 29 at 21:58
Shaun
8,507113580
asked Oct 21 '12 at 3:44
Ralph
990413
edited Nov 29 at 21:58
Shaun
8,507113580
asked Oct 21 '12 at 3:44
Ralph
990413
edited Nov 29 at 21:58
Shaun
8,507113580
edited Nov 29 at 21:58
Shaun
8,507113580
edited Nov 29 at 21:58
Shaun
8,507113580
8,507113580
asked Oct 21 '12 at 3:44
Ralph
990413
asked Oct 21 '12 at 3:44
Ralph
990413
asked Oct 21 '12 at 3:44
Ralph
990413
990413
4
This is an open question.
– user641
Oct 21 '12 at 4:08
I presume your question is means to read "Question: Has every finite group a minimal presentation ?" not representation. But I don't want to edit it, just in case...
– user1729
Oct 22 '12 at 12:05
add a comment |
4
This is an open question.
– user641
Oct 21 '12 at 4:08
I presume your question is means to read "Question: Has every finite group a minimal presentation ?" not representation. But I don't want to edit it, just in case...
– user1729
Oct 22 '12 at 12:05
4
4
This is an open question.
– user641
Oct 21 '12 at 4:08
This is an open question.
– user641
Oct 21 '12 at 4:08
I presume your question is means to read "Question: Has every finite group a minimal presentation ?" not representation. But I don't want to edit it, just in case...
– user1729
Oct 22 '12 at 12:05
I presume your question is means to read "Question: Has every finite group a minimal presentation ?" not representation. But I don't want to edit it, just in case...
– user1729
Oct 22 '12 at 12:05
add a comment |
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4
This is an open question.
– user641
Oct 21 '12 at 4:08
I presume your question is means to read "Question: Has every finite group a minimal presentation ?" not representation. But I don't want to edit it, just in case...
– user1729
Oct 22 '12 at 12:05