Let-H-be-a-non-empty-subset-of-a-group-G-prove-that-the-follow-ing-are-equivalent-1-H-is-a-subgroup-of-G-2-for-a-b-H-ab-1-H-3-for-a-b-ab-H-4-for-a-H-a-1-H-Hint-prove-1-2 Tinku Tara June 4, 2023 Others 0 Comments FacebookTweetPin Question Number 192077 by Mastermind last updated on 07/May/23 LetHbeanon−emptysubsetofagroupG,provethatthefollow−ingareequivalent1)HisasubgroupofG2)fora,b∈H,ab−1∈H3)fora,b∈ab∈H4)fora∈H,a−1∈HHint:prove1)→2)→3)→4)→1)Help!!! Answered by AST last updated on 07/May/23 HisasubgroupofG⇒HisagroupwithelementsfromG.⇒ab∈Hfora,b∈HSinceb∈H,b−1∈HHence,sincea,b−1∈H,ab−1∈H⇒1)⇒3)⇒2)⇒4) Commented by Mastermind last updated on 07/May/23 Thankyousomuchsir Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: 17-202-the-end-3-number-Next Next post: f-1-x-1-x-x-3-f-1-x-f-8- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.