Final answer:
The statement is false. In K-map simplification, groupings must be made in powers of two, such as 2, 4, 8, etc., and a group of three is not in a power of two and therefore not allowed.
Step-by-step explanation:
The statement that single looping in groups of three is an allowable K-map simplification technique is false.
Karnaugh maps (K-maps) are a method used in digital logic to simplify Boolean algebra expressions. When using K-maps for simplification, one can group adjacent cells that contain 1s in powers of two such as 1, 2, 4, 8, and so on.
Groupings may overlap and contain don't-care conditions, but they must always have the number of cells in a power of two to simplify the Boolean expression correctly. Therefore, a group of three does not satisfy this requirement.
For example, simplifying a K-map may involve grouping cells in configurations of two (pair), four (quad), or eight (octet), but never singles, triples, or any number that is not a power of two. This is because the goal of grouping is to reduce the expression to minimal terms, and non-powers-of-two groupings do not aid in this simplification process.