Duba wurin da ke ƙasa sannan ka amsa tambayar daga baya a cikin harshe ɗaya kamar yadda wurin yake:  Passage: Ma'anar zamani na rukuni mai banƙyama ya samo asali ne daga fannoni da dama na ilmin lissafi. Dalilin farko na ka'idar rukuni shine neman mafita na daidaitattun polynomial na digiri mafi girma fiye da 4. Masanin lissafi na Faransa Évariste Galois na ƙarni na 19, yana faɗaɗa aikin da Paolo Ruffini da Joseph-Louis Lagrange suka yi, ya ba da ma'auni don warwarewar wani ƙididdigar polynomial ta musamman dangane da ƙungiyar daidaitaccen tushen sa (magani). Abubuwan da ke cikin irin wannan rukunin Galois sun dace da wasu canje-canje na tushen. Da farko, ra'ayoyin Galois sun ƙi abokan zamaninsa, kuma an buga su ne kawai bayan mutuwarsa. Augustin Louis Cauchy ya bincika ƙungiyoyin canji na gaba ɗaya. Arthur Cayley's A kan ka'idar kungiyoyi, kamar yadda ya dogara da daidaitattun alamomi θn = 1 (1854) ya ba da ma'anar ma'anar farko na ƙungiyar ƙayyadaddun. Geometry wani yanki ne na biyu wanda aka yi amfani da ƙungiyoyi a cikin tsari, musamman ma ƙungiyoyi masu jituwa a matsayin wani ɓangare na shirin Felix Klein na 1872 Erlangen. Bayan sababbin lissafi kamar su hyperbolic da projective geometry sun bayyana, Klein ya yi amfani da ka'idar rukuni don tsara su a cikin hanyar da ta dace. Ci gaba da ci gaba da waɗannan ra'ayoyin, Sophus Lie ya kafa nazarin rukunin Lie a 1884. Filin na uku wanda ke ba da gudummawa ga ka'idar rukuni shine ka'idar lamba. An yi amfani da wasu rukunin rukunin abelian a cikin Carl Friedrich Gauss 'a cikin aikin ilimin lissafi na Disquisitiones Arithmeticae (1798), kuma Leopold Kronecker ya fi bayyane. A cikin 1847, Ernst Kummer ya yi ƙoƙari na farko don tabbatar da Maganar Ƙarshe ta Fermat ta hanyar haɓaka ƙungiyoyi masu bayyana factorization a cikin lambobi masu mahimmanci. Haɗuwa da waɗannan hanyoyin daban-daban a cikin ka'idar ƙungiyoyi iri ɗaya ya fara da Traité des substitutions et des équations algébriques na Camille Jordan (1870). Walther von Dyck (1882) ya gabatar da ra'ayin ƙayyade rukuni ta hanyar masu samarwa da dangantaka, kuma shi ne na farko da ya ba da ma'anar ma'anar "rukunin abstract", a cikin kalmomin lokaci. Tun daga karni na 20, kungiyoyi...  Tambaya: Menene manufar binciken?
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