What ⋋ means
A group is a mathematical collection with a rule for combining its elements, such as rotations combined by performing one after another. A semidirect product builds a group from two groups. One acts on the other: its elements transform the other group's elements while preserving their rule for combining.
The symmetries of a square give a concrete example. They combine rotations with reflections. Reflecting reverses the direction of a rotation, so the two parts interact. A direct product, written with , combines the two components independently. If the action in a semidirect product leaves every element unchanged, it reduces to a direct product.
When reading a formula containing ⋋, look for the definition of the action and the order of the two groups. Authors use different left/right conventions, so the symbol's name alone does not settle those choices.
Specialist mathematical notation, especially in group theory.
Do not infer which group acts from the symbol's direction alone.
Part of collections
Don't confuse it with
3
More like this
8
How to type or find ⋋
- Also called
- leftthreetimes · lthree
- Search it as
- semidirect product symbol
- Shows up in
- Anything that takes text · its shape is whatever your font draws
⋋\22CBamssymb, then use \leftthreetimes in math mode.Codes and encoding1 code points
A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.