Meaning of symmetry group | Babel Free

Definitions

A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.

Equivalents

Examples

“[The] situation is more delicate in the case of higher dimensional symmetry groups; it is not in general possible to reduce⟳ the order⟳ of an equation invariant under an r-parameter symmetry group by r using only quadratures.”

“It is often assumed that the design⟳ unit inside each fundamental region (particularly for monotranslational symmetry groups p111 and p1a1 and ditranslational symmetry groups p1 and pg) is asymmetric.”

“The structure⟳ of the symmetry group of a molecule affects several spectroscopic aspects and vice versa. Thus, it is clearly important to know⟳ the possible symmetries of fullerenes and similar structures. In this chapter, we study⟳ symmetry groups of fulleroids.”

CEFR level