  In his seminal paper, half a century ago, Hyman Bass established a commutator
formula in the setting of (stable) general linear group which was the key step
in defining the K_1 group. Namely, he proved that for an associative ring A
with identity, E(A)=[E(A),E(A)]=[GL(A),GL(A)] where GL(A) is the stable general
linear group and E(A) is its elementary subgroup. Since then, various
commutator formulas have been studied in stable and non-stable settings, and
for a range of classical and algebraic like-groups, mostly in relation to
subnormal subgroups of these groups. The major classical theorems and methods
developed include some of the splendid results of the heroes of classical
algebraic K-theory; Bak, Quillen, Milnor, Suslin, Swan and Vaserstein, among
others.
  One of the dominant techniques in establishing commutator type results is
localisation. In this note we describe some recent applications of localisation
methods to the study (higher/relative) commutators in the groups of points of
algebraic and algebraic-like groups, such as general linear groups, GL(n,A),
unitary groups GU(2n,A, Lambda) and Chevalley groups G(Phi,A).
  We also state some of the intermediate results as well as some corollaries of
these results. This note provides a general overview of the subject and covers
the current activities. It contains complete proofs of several main results to
give the reader a self-contained source. We have borrowed some of the proofs
from our previous papers and expositions
