Let-H-be-a-family-of-subgroup-of-a-group-G-then-prove-that-H-

Question Number 192087 by Mastermind last updated on 07/May/23

Let {H_α } ∈ Ω, be a family of subgroup of a group G, then prove that ∩_(α ∈ Ω) H_α .

$$\mathrm{Let}\:\left\{\mathrm{H}_{\alpha} \right\}\:\in\:\Omega,\:\mathrm{be}\:\mathrm{a}\:\mathrm{family}\:\mathrm{of}\: \\ $$$$\mathrm{subgroup}\:\mathrm{of}\:\mathrm{a}\:\mathrm{group}\:\mathrm{G},\:\mathrm{then}\: \\ $$$$\mathrm{prove}\:\mathrm{that}\:\cap_{\alpha\:\in\:\Omega} \mathrm{H}_{\alpha} . \\ $$$$ \\ $$$$ \\ $$

Commented by AST last updated on 07/May/23

$${Prove}\:{that}\:\cap_{\alpha\in\Omega} {H}_{\alpha} \:{equals}\:{what}? \\ $$

Commented by Mastermind last updated on 07/May/23

$$\mathrm{that}\:\mathrm{is}\:\mathrm{how}\:\mathrm{it}\:\mathrm{is}\:\mathrm{SIR} \\ $$

Commented by Mastermind last updated on 07/May/23

I think it should be, prove that it is a subset of group G

$$\mathrm{I}\:\mathrm{think}\:\mathrm{it}\:\mathrm{should}\:\mathrm{be},\:\mathrm{prove}\:\mathrm{that}\:\mathrm{it}\:\mathrm{is}\:\mathrm{a} \\ $$$$\mathrm{subset}\:\mathrm{of}\:\mathrm{group}\:\mathrm{G} \\ $$

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Let-H-be-a-family-of-subgroup-of-a-group-G-then-prove-that-H-

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