Page boy (wedding attendant) Page boy (wedding attendant) A page boy is a young male attendant at a wedding or cotillion, a social dance. This type of wedding attendant is less common than it used to be, but is still a way of including young relatives or the children of relatives and friends in a wedding. A page is often seen at British royal weddings. There may be many pages for effect at cotillions. Traditionally, page boys carry the bride's train, especially if the bride is wearing a dress with a long train. Because of the difficulty of managing the train, page boys are
Rank of an abelian group there is a torsion-free abelian group of rank 2"n" − 2 that is simultaneously a sum of two indecomposable groups, and a sum of "n" indecomposable groups. Hence even the number of indecomposable summands of a group of an even rank greater or equal than 4 is not well-defined. Another result about non-uniqueness of direct sum decompositions is due to A.L.S. Corner: given integers "n" ≥ "k" ≥ 1, there exists a torsion-free abelian group "A" of rank "n" such that for any partition "n" = "r" + ... + "r" into "k" natural summands, the group "A" is the