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Jordan-Hölder theorem

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

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.

Etymology

Origin of Jordan-Hölder theorem

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

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.