Small app helping to investigate basics of the group theory.
Written as a self-help with the Algebra course homework in the 3th semester.
For each given multiplicative or additive group, the following is possible:
- compute the order of an element
- build a subgroup by a given representative element
- test if the subgroup is normal
- compute the commutator of an element
- compute the commutant
- build a factorgroup by a given subgroup
- build the Cayley table
Please see the output.