The phrase "layer of society" is correct and commonly used in written English.
It refers to a specific group or level within a larger social structure. Example: The wealthy elite occupy the top layer of society, while the working class makes up the bottom layer.
Alcohol and drug abuse is spread through every layer of society.
"Cheap printing and public education were reaching out to a layer of society that had never before had a voice.
This layer of society, which to an extent influences Russian policy and the attitudes of our ruling class, is keenly interested in restoring friendly bilateral ties.
The Victorian "classics" still loomed large in the popular imagination, abetted by television and radio's habit of commissioning adaptations whose appeal extended to every layer of society.
The Naval Criminal Investigative Service has a limited jurisdiction, yet the cases vary widely, taking the agents into every layer of society, from prison cells to upper-class living rooms.
Here, the artist shows an uncanny knack for balancing total anonymity with intrusion, in capturing layer upon layer of society's distinctions.
A ferocious debate about the authorship of Shakespeare's plays permeates all layers of society.
Mr. Imam's films routinely use humor to skewer many layers of society.
For real equality, black people should be able to compete on a level playing field in all layers of society.
Most fatefully, it is the shocking failure of leadership at all layers of society that has roused a sense of desperation, and with it, rebellion.
For the filmmaker, as for the novelist, the plan is to crunch together layers of society that would normally never connect.
