Jordan-Hölder theorem

[ jawr-dn-hel-der ]

noun

, Mathematics.

1. the theorem that for any two composition series of a group, an isomorphism exists between the corresponding quotient groups of each series, taken in some specified order.

Word History and Origins

Origin of Jordan-Hölder theorem¹

First recorded in 1935–40; named after M.E.C. Jordan and German mathematician Ludwig Otto Hölder (1859–1937)