Engineering Mathematics · topic
Closure, associativity, identity and inverse in semigroups, monoids and groups; operation tables and counts of binary operations; subgroups and the subgroup test, Lagrange's theorem, element orders, cyclic groups and generators, abelian groups and small examples such as Zn, U(n) and S3.
An algebraic structure is a set together with one or more operations that combine elements. Abstracting away from what the elements are (numbers, strings, permutations, matrices) and keeping only the laws the operation obeys lets one theorem cover all of them.
One-page visual sheets for this topic, in the sheet library on the store. Previews are free; the full sheets come with the subject pack.
