
group samghadippichu

group sidhaantham ennariyappedunna aadhunika beejaganithatthinte mekhalayil, "hii" enna holded group oru edaykkideyulla lalithamaaya kramamaanu.
charithram.
"26 edaykkideyulla grouppukalil onnaaya "hea" oru involution adangiya lalithamaaya grouppukalude anweshanathil kandethi, avayude centraliser maathyoo group emm 24 leeii involutionte isomorphic aanu. atharathilulla randaamathe group leanier group ell 5 (2) aanu. hold grouppaanu moonnaamathe saadhyatha, athinte nirmmaanam joonn mccay graham higman chernnaanu poortthiyaakkiyathu.
outtar automorphism groupinu oordar 2 undu, shharr multiplier nissaaramaan.
praathinidhyam.
ettavum cheria vishwastha sankeernamaaya praathinidhyathinu 51-aamm alavaanullathu; atharam rund praathinidyangal parasparam erattakalaanu. 
ithu rakshasa groupile 7-aamm kramatthile oru gadakathe kendreekarikkunnu. thalphalamaayi, grouppinte sidhaanthathil prime 7 oru prathyeka punk vahikkunnu; udaaharanathinu, eathu feeldilum hold grouppinte ettavum cheria praathinidhyam 7 gadakangalulla feeldil 50 dimensional praathinidyamaanu, ithu 7 gadakangalulla feeldil oru vertex oopparettar beejaganithathil swaabhaavikamaayi pravartthikkunnu.
pooyint stabilizer sp4 (4): 2 ulla 2058 pooyintukalil rank 5 pravarthanamaanu ettavum cheria kramappedutthal praathinidhyam. 
automorphism group addeham 2 fisher group phii 24-nte oru upavibhagamaanu.
saamaanyavalkkaricha bheemakaaramaaya chandraprakasham.
konveyum norton 1979 leeii avarude prabandhatthil nirddeshichathu bheemakaaramaaya chandraprakasham raakshasanil maathram othungunnillennum mattu grouppukalil samanamaaya prathibhasangal kandethaamennum. edaykkideyulla grouppukalude alavukalude lalithamaaya samyojanathil ninnu niravadhi hoptmodulnukalude vipuleekaranangal nirmmikkaan kazhiyumennu larissa raajnjiyum mattullavarum pinneedu kandethi. addeham" ennathinu, prasakthamaaya mccay-thompson seerees formula _ 1 aanu, avide oraalkk sthiramaaya padam a (0) = 10 () sajjamakkaan kazhiyum,
koodaathe "η" ("τ") ennathu dedeckind ettaa functionaanu.
avatharanam.
eiii", "bii" ennee janarettarukaludeyum bandhangaludeyum adisthaanathil ithine nirvachikkaam.
paramavadhi upagrooppukal.
 hii" yude paramavadhi upavibhaagangalude 11 samyojitha klaasukal thaazhepparayunna reethiyil kandethithi