Function group

Defines an algebraic structure known as a group.

  • group<T>(
        set: ChalkboardSet<T>,
        operation: (a: T, b: T) => T,
        identity?: T,
        inverter?: (a: T) => T,
    ): ChalkboardStructure<T>

    Type Parameters

    • T

    Parameters

    • set: ChalkboardSet<T>

      The set of the group

    • operation: (a: T, b: T) => T

      The operation of the group

    • Optionalidentity: T

      The identity element of the group (optional if the set is Z, Q, R, C, A, S, M, or GL)

    • Optionalinverter: (a: T) => T

      The function to calculate the inverse of an element of the group (optional if the set is Z, Q, R, C, M, A, S, or GL)

    Returns ChalkboardStructure<T>

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