▁include ▁the ▁ 1 9 9 9 ▁National ▁Print ▁Prize . ▁ ▁La ure ates ▁ ▁References ▁ ▁External ▁links ▁ ▁BB VA ▁Foundation ▁ ▁Category : S cience ▁and ▁technology ▁awards <0x0A> </s> ▁Kam abad ▁( , ▁also ▁Roman ized ▁as ▁Kam ā b ā d ) ▁is ▁a ▁village ▁in ▁K uh est an ▁R ural ▁District , ▁in ▁the ▁Central ▁District ▁of ▁N ain ▁County , ▁Is fah an ▁Province , ▁Iran . ▁At ▁the ▁ 2 0 0 6 ▁census , ▁its ▁existence ▁was ▁noted , ▁but ▁its ▁population ▁was ▁not ▁reported . ▁ ▁References ▁▁ ▁Category : Pop ulated ▁places ▁in ▁N ain ▁County <0x0A> </s> ▁In ▁mathematics , ▁Cl iff ord ▁theory , ▁introduced ▁by ▁, ▁describes ▁the ▁relation ▁between ▁representations ▁of ▁a ▁group ▁and ▁those ▁of ▁a ▁normal ▁subgroup . ▁ ▁Alfred ▁H . ▁Cl iff ord ▁ ▁Alfred ▁H . ▁Cl iff ord ▁proved ▁the ▁following ▁result ▁on ▁the ▁restriction ▁of ▁finite - dimensional ▁ir reducible ▁representations ▁from ▁a ▁group ▁G ▁to ▁a ▁normal ▁subgroup ▁N ▁of ▁finite ▁index : ▁ ▁Cl iff ord ' s ▁theorem ▁ ▁Theorem . ▁Let ▁ π : ▁G ▁→ ▁GL ( n , K ) ▁be ▁an ▁ir reducible ▁representation ▁with ▁K ▁a ▁field . ▁Then ▁the ▁restriction ▁of ▁ π ▁to ▁N ▁breaks ▁up ▁into ▁a ▁direct ▁sum ▁of ▁ir reducible ▁representations ▁of ▁N ▁of ▁equal ▁dimensions . ▁These ▁ir reducible ▁representations ▁of ▁N ▁lie ▁in ▁one ▁orbit ▁for ▁the ▁action ▁of ▁G ▁by ▁conjug ation ▁on