Normal Subgroup Of Symbol
⊲ denotes that one group is a normal subgroup of another in group theory.
U+22B2
The symbol ⊲ (Unicode U+22B2) is used in mathematics to express a “normal subgroup of” relationship between groups. It appears in algebra and group theory when describing subgroups with good structural properties.
Normal Subgroup Of Symbol Meaning
⊲ is read as “normal subgroup of.” If you see A ⊲ B, it means A is a subgroup of B and is normal, which implies it behaves well under conjugation by elements of B. In group theory, normal subgroups are important because they enable the construction of quotient groups and help classify how a larger group is built from its parts. When writing proofs or definitions, ⊲ provides a clear, standard notation for this specific subgroup relationship, distinguishing it from general subgroup notation (often written with symbols like ⊂ or ⊲ notations versus non-normal subgroup statements).
Common uses
- •Expressing that a subgroup is normal in group theory (e.g., N ⊲ G).
- •Stating conditions for forming quotient groups (G/N) in algebra notes.
- •Writing formal definitions in textbooks, lecture notes, and math documentation.
- •Annotating diagrams or structured relationships in abstract algebra problems.
- •Formatting LaTeX-like math expressions for coursework, comments, or posts.
Examples
⊲ Normal Subgroup of Symbol
- ⊲Let N ⊲ G be a normal subgroup.
- ⊲We have A ⊲ B by definition.
- ⊲Since N ⊲ G, the quotient group G/N exists.
- ⊲In this problem, H ⊲ K is assumed.
- ⊲Show that X ⊲ Y using the conjugation condition.
Variations
Ready to copy
Technical codes
| Unicode | U+22B2 | |
| HTML Entity | ⊲ | |
| HTML Code | ⊲ | |
| CSS | \22B2 |
FAQ
What does the symbol ⊲ mean?
⊲ is commonly read as “normal subgroup of,” written as A ⊲ B to indicate A is a normal subgroup of B.
Where is ⊲ used?
It is used in mathematics, especially group theory and abstract algebra, to state normal-subgroup relationships.
What is the Unicode for ⊲?
The Unicode code point for ⊲ is U+22B2.
How can I copy ⊲ in code or documents?
You can paste the character directly, or use the provided escapes: HTML entity ⊲, CSS escape \\22B2, or JavaScript escape \\u{22B2}.