Txhua pab pawg yog ib pab pawg ntawm nws tus kheej. Ib yam li ntawd, cov pab pawg tsis tseem ceeb yog ib pawg ntawm txhua pawg.
Puas muaj ib pab uas tsis muaj ib pawg sub?
Nyob hauv lej, ib pab pawg yooj yim yog ib pab pawg tsis tseem ceeb uas nws tsuas yog pab pawg tsis tseem ceeb yog pawg tsis tseem ceeb thiab pab pawg nws tus kheej.
Txhua pab pawg puas muaj pawg sub?
Definition: Ib subset H ntawm ib pab G yog ib pawg ntawm G yog H yog nws tus kheej ib pab pawg nyob rau hauv lub lag luam nyob rau hauv G. Nco ntsoov: Txhua pawg G muaj tsawg kawg yog ob pawg: G nws tus kheej thiab pawg sub {e}, tsuas yog muaj cov cim qhia txog tus kheej. Tag nrho lwm pab pawg tau hais tias yog pab pawg tsim nyog.
Puas txhua pab pawg Abelian muaj ib pawg sub?
Cia g ∈ G. Then gH={gh | h ∈ H} los ntawm kev txhais ntawm sab laug coset. gh=hg rau tag nrho h txij li G yog Abelian. … Yog li G=(Z, +) yog pab pawg Abelian thiab los ntawm qhov teeb meem dhau los txhua pawg ntawm pawg Abelian yog qhov qub.
Puas yog pawg ib txwm nyob hauv nws tus kheej?
Group is Normal in Itself
Cia (G, ∘) ua ib pab. Ces (G, ∘) yog ib pab pawg ntawm nws tus kheej.
