Posting-homework for Algebra: Folks I've split you in to small teams to post /solutions/ (not just answers) to several problems. If problems are closed related, then you can put your solns in the same posting. Problems that are unrelated should be in different postings. These problems are from Judson's "Abstract Algebra: Theory and Applications". >>Please read pages 1-36 of Judson's text. Much of material you learned from Sets&Logic. ================ A posting-title could be, e.g, Soln to Jud#19Sec1.8P.14 meaning a soln to problem 19 from section 1.8 (P.14) of Judson's text. OTOHand (On The Other Hand), if you are putting solns to several problems in one posting, then you might use a posting-title such as Solns to Judson's #9, #10, #11 Sec1.8 on P.14. or Solns to Judson's problems #9-16 of Sec1.8 on P.14, or something similar. ================ I'm getting this to you a bit later than I had hoped. I'd appreciate it if you could have all solns posted by, say, 11PM Sunday, but I realize that may not be possible for some teams. ==================== === The Problems === ==================== Matthew Alderman, Owen Flannagan, Problems #19, #20, #21 from Sec1.8, P.14 [Functions]. Problem #1, Sec2.3, P.24 [Induction]. Nihar Gupte, Brian Leslie, Problem #3, Sec2.3, P.24 [Induction]. Problem #12, Sec3.4, P.40 [Show this a group]. Tyler Marth, Roussnie Petit-Frere, Problem #1(a-c), Sec3.4, P.39 [Modular arithmetic]. Problem #2(a), Sec3.4, P.39 [Is this a group?]. Michael Thomas, Lynn Arthur, Problem #2(b,c,d), Sec3.4, P.39 [Is this a group?]. Problem #10, Sec3.4, P.40 [The issue is showing that mult-inverses have the same form]. Abigail Shavell, Katrina [Kat] Beaucage, Problem #1(d-f), Sec3.4, P.39 [Modular arithmetic]. Problem #3, Sec3.4, P.39 [Cayley tables]. Brian Bissonnette, Tiana Herrera, Problem #4, Sec3.4, P.39 [Group of symmetries]. Problem #8, Sec3.4, P.39 [Matrix multiplication]. Joseph [Joey] Flahavan, Christina Threlkeld, Problem #6, Sec3.4, P.39 [Multiplicative subgroup]. Problem #28, Sec2.3, P.26 [This problem is a bit harder]. Alexander [Alex] Cummings, Teresa [Tess] Dilan, Gregory [Greg] Buettner, Problem #7, Sec3.4, P.39 [Prove this is a group]. Problem #14, Sec3.4, P.40 [Prove this is a group. You may use without proof that R* is a group]. ================================================================