What is a semi-unit element?

1 Answer
George C.
Dec 30, 2015

Semi-unit elements are elements of a group which are equal to the identity when squared. That is they are self-inverses.

Explanation:

In geometry, a reflection is a semi-unit element.

A half rotation of one side of a Rubik's cube is a semi-unit element.

The function #f(x) = -x# is a semi-unit element in the group of invertible functions under the operation of function composition.

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