In my previous post I posed the following question: suppose you are given a table for a binary operation such that there is a two-sided identity, every element has a two-sided inverse, and the table i… more →
Division by Zerowrote 1 month ago: Today we are going to study some interesting aspects of group theory. Definition (14). Subgroup. Giv … more →
wrote 11 months ago: P.S. I just realise it is 5 ending places not 4. … more →
wrote 3 years ago: Write out the group tables for , , and . Group table for : Group table for : Group table for : … more →
wrote 3 years ago: Prove that a finite group is abelian if and only if its group table is a symmetric matrix. If is a f … more →