2 votes 2 votes If two elements of a group G satisfies $aba^{-1} = b^{2}$ for $b\neq e$ then which of the following is equal to $b^{32}$ $A) a^{16}ba^{-16}$ $B) a^{5}ba^{-5}$ $C) ab^{16}a^{-1}$ $D)$ Both $(B)$ and $(C)$ Set Theory & Algebra discrete-mathematics set-theory&algebra group-theory + – Lakshman Bhaiya asked Oct 7, 2018 • edited Jan 10, 2019 by Lakshman Bhaiya Lakshman Bhaiya 555 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply Vikas Verma commented Oct 7, 2018 reply Follow Share D) 0 votes 0 votes Lakshman Bhaiya commented Oct 7, 2018 i edited by Lakshman Bhaiya Oct 7, 2018 reply Follow Share can you explain (B) option and (A)?? i got option(C) 0 votes 0 votes srestha commented Oct 7, 2018 reply Follow Share https://gateoverflow.in/28108/suppose-the-element-a-b-in-a-group-satisfies-aba-1-b2-for-b-e 1 votes 1 votes Please log in or register to add a comment.
Best answer 4 votes 4 votes Similarly expanding using 3 and 4, the answer will be D (B and C both). manohar answered Oct 7, 2018 • selected Jan 10, 2019 by Lakshman Bhaiya manohar comment Share Follow See all 0 reply Please log in or register to add a comment.