# Items tagged with groupgroup Tagged Items Feed

### Does N variables caylay table have N permutation g...

November 04 2013
0 1

Does N variables caylay table have N permutation group so that can generate N functions?

for exmaple 3 variables cayley table have 3 permutation group, for 1, it has a permutation group , for 2 has a permutation group etc.

then does it mean that it has 3 functions, do it need to composite 3 functions in order to get a function belong to this cayley table?

1 1 1

1 2 2

1 2 3

### how to divide or split an execution group at any p...

November 01 2013
1 2

I am not able to find way to do this very basic and common operation.

I use worksheet mode, and many times I'd like to split/divide a large execution group I've build of some code to 2 execution groups at some place. i.e. I'd like to point my mouse at a line and say divide here. Here is an example:

I see only the options Insert->Execution group-> After Cursor or Before cursor. Both of which do not do what I want. I want to divide it at that point.  So what I end up doing is to make a new execution group manually (using the Insert command), then go back and cut and paste the code I want in the new group.

I hope there is an option to do this. I do these sorts of things all the time when using Mathematica, which has Divide cell, Merge cells and other options. A cell in Mathematica is similar to execution group in Maple. Are there other options to maniuplate execution groups other insert before/after cursor that I might have missed? I am using 17.02 on windows 7.

Please note, I only use worksheet mode.

### automorphisms of the petersen graph...

January 21 2013 Maple
4 3

Dear friends, I recently answered a query concerning the action of the automorphism group of the Petersen graph on its edges at stackexchange.com. The algorithm that I present is quite naive, but it does produce the desired result. I thought I would share it here because it makes a nice Maple programming exercise e.g. for a talented student at high school level. ...

### Galois group with parameters...

November 12 2012
1 1

I consider a polynomial $P(x)$ such that their coefficients are in $\mathbb{Q}(u_1,\cdots,u_k)$ where $u_1,\cdots,u_k$ are complex parameters. I use in Maple the command $galois(p(x),x)$ and I obtain a fixed Galois group solution.  Fortunately, when I give explicit values (randomly chosen) to the $(u_i)_i$, I obtain always the previous group as Galois group. I think that Maple considers that the $(u_i)_i$ satisfy no algebraic equations, that is the $(u_i)_i$ are generic....

### How to define a set of elements...

May 19 2012
1 9

Is there a possibility in Maple to define a set of elements using a rule or semanticdescription. The problem is that  I need to define a set of numbers of the concrete form (e.g. of the form a+b\sqrt[3](2)). Or more complecated task: the set of pairs (a,b) where a,b::integer. And then I need to define an abstract operation on that set. I explain: my global task is to create a procedure to define whether a set with an operation is a group (where a set is defined using a rule).

### Grouping the values...

January 07 2012
0 2

A simple question. I have this:

k*(2x+y-3z+2)+s*(5x+5y-4z+3)=0

And I want to group it by x, y, z, so that I would get:

x*(2k+5s)+y(k+5s)...=0

I'm using Maple 11.

### Trying to make Cayley tables...

October 29 2011
1 2

I'm trying to make a Cayley table with a group of permutations (Specifically S3 and A4) and can't figure it out.  I've been looking through the help without much success.  Here is the code I have so far:

Matrix(nops(permgroup(6, {[[1, 2]], [[2, 3]]})), proc (i, j) options operator, arrow; multperms(i, j, permgroup(6, {[[1, 2]], [[2, 3]]})) end proc)

Thanks

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