Order of the product of two subgroups of group of finite order - Group Theory - lesson 34

[@singhisking4954]

Mam mai coaching mai 8 fee deta but samaj mai nhi aata But Aapki video se aa jata hai maine last time mai real analysis v PDA aapke channel se

[@learnmatheasily]

8k ??? Annually

[@singhisking4954]

@@learnmatheasily Yes mam With IIT jam

[@learnmatheasily]

@@singhisking4954 where ??

[@nighatlone77]

Maam is result also true for order of three subgroups of finite order

[@learnmatheasily]

Yes

[@Delhiwale30]

Let H and K be two subgroups of a group G of order 2 and 9 respectively Prove that o(HK) =18 If o(G) =36 then show that HK normal subgroup of G Please solve

[@BalwaaanKashyap]

H aur K ka intersection nil kyu nhi aa skta in 2nd question madam ji ?

[@learnmatheasily]

Please mention time of the video

[@BalwaaanKashyap]

@@learnmatheasily aap 2 aur 3rd question me order H aur K ke intersection ko 1 prove kar rahe ho, zero order bhi ho sakta hai, zero wala case kyu nahi le rahe ho

[@learnmatheasily]

@@BalwaaanKashyap kyunki sabhie subgroups me identity element hoga hi. Isliye intersection set me kam se kam identity element hoga hi. Isliye intersection kabhi bhi 0 nai ho sakta

[@BalwaaanKashyap]

@@learnmatheasily agr o(H) 'm' ho aur o(K) 'n' aur o(H intersection K) '0' ho to o(HK) 'infinity' aayega kya madam ji ??

[@BalwaaanKashyap]

@@learnmatheasily agr o(H) 'm' ho aur o(K) 'n' aur o(H intersection K) '0' ho to o(HK) 'infinity' aayega kya madam ji ??