Symmetries Of Borromean Links With And Without Brunnian Property

A link is a set of knotted loops all tangled up together. Borromean links of n components (n?3) are non trivial links in which n rings are combined in such a way that any two of the component rings make a trivial link. In the paper, after stating mathematical definition of Borromean links and their properties, we considered Borromean property and Brunnian property of n component links (n?3). A portion of "point group" have been discussed in order to understand the symmetry element, symmetry operation and the symmetry of n Borromean links with n=3. It is also discussed that such links form a variety of series whose members are different isotopy types. Examples have been presented for 3-component Borromean links that are topolgically chiral. The formation of n Borromean links with and without at least one non trivial sublink have been described. Finally proves have been given for the symmetry properties of Borromean links with and without the Brunnian property.