Jordan-Hölder theorem

[ jawr-dn-hel-der ]
/ ˈdʒɔr dnˈhɛl dər /

noun Mathematics.

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.

Origin of Jordan-Hölder theorem

after M.E.C. Jordan and German mathematician Ludwig Otto Hölder (1859–1937) Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019