rtimes
Represents a binary operation symbol showing a right-tilted multiplication cross, commonly used in abstract algebra and group theory.
Overview
Denotes specialized multiplication or product operations, particularly in mathematical contexts where a distinct cross symbol is needed to differentiate from standard multiplication.
- Frequently used in abstract algebra to represent semidirect products of groups
- Appears in mathematical physics and advanced algebra notation
- Often employed alongside other related binary operators to show different types of products or operations
- Useful in contexts where standard multiplication symbols might cause ambiguity
Examples
Showing a non-normal subgroup relationship in group theory.
H \rtimes G \text{ denotes the semidirect product}
Indicating a twisted product or crossed product in algebra.
A \rtimes_\alpha G
Representing a wreath product of groups.
C_2 \rtimes S_n