J. Arthur Rank but continued to handle all distribution for the Rank organisation until 1955, when it was renamed J. Arthur Rank Film Distributors. In 1939 Rank consolidated his film production interests in both the Pinewood Film Studios and the Denham Film Studios. In 1938 Rank bought the Odeon Cinemas chain. and the Amalgamated Studios in Elstree, although the latter were never used as film studios by Rank. In 1941, it absorbed the Gaumont British, which owned 251 cinemas, and the Lime Grove Studios, (later owned by the BBC) and bought the Paramount Cinemas chain, so that by 1942 the Rank Organisation owned
Prüfer rank seen that formula_3 will be equal to the "size of any minimal generating set" of formula_6. Those profinite groups with finite Prüfer rank are more amenable to analysis. Specifically in the case of finitely generated pro-p groups, having finite Prüfer rank is equivalent to having an open normal subgroup that is powerful. In turn these are precisely the class of pro-p groups that are p-adic analytic - that is groups that can be imbued with a p-adic manifold structure. Prüfer rank In mathematics, especially in the area of algebra known as group theory, the Prüfer rank of a pro-p group