group_operation
Constructs a group from a SageMath expression and queries its properties: order, abelianness, cyclicity, center, conjugacy classes, and exponent.
Instructions
Group theory: construct groups and query properties (order, is_abelian, center, etc.)
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| group | Yes | Sage group constructor, e.g. 'SymmetricGroup(5)', 'DihedralGroup(4)', 'CyclicPermutationGroup(6)', 'AlternatingGroup(5)' | |
| operation | Yes | One of: order, is_abelian, is_cyclic, center_order, conjugacy_classes_count, exponent |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
No arguments | |||