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BUILT-IN MATHEMATICA SYMBOL
GroupElementFromWord
GroupElementFromWord[group, w]
returns the element of group determined by the word w in the generators of group.
Details
- In GroupElementFromWord[group, w], the word w must be a list of nonzero integers
representing generators in the list returned by GroupGenerators[group]. A positive integer 
in the word represents the 
generator, and a negative integer 
represents the inverse of the 
generator.
Examplesopen all
Basic Examples (1)
For a given list of group generators, this word represents the product of the first generator with itself and then with inverse of the second generator:
| In[1]:= |
| Out[1]= |  |
For the dihedral group of order 16, the word corresponds to the element:
| In[2]:= |
| Out[2]= |  |
The same result can be obtained by multiplying the generators explicitly:
| In[3]:= |
| Out[3]= |  |
| In[4]:= |
| Out[4]= |  |
New in 9
