In 1969, his book Genesis of the Abstract Group Concept was published in German; it was translated by Abe Shenitzer and Hardy Grant in 1984.
Newman wrote in Mathematical Reviews (see external link below) that Wussing's "main thesis, ably defended and well documented, is that the roots of the abstract notion of a group do not lie, as frequently assumed, only in the theory of algebraic equations, but they are also to be found in the geometry and in the theory of numbers at the end of the 18th and the first half of the 19th centuries".
Newman also notes that a broader perspective on the topic would require reading the works of George Abram Miller.
Wussing is the author of numerous scientific historical publications, the author of many mathematicians' biographies, and co-editor of several series of publications, including biographies in the Teubner Verlag, and several volumes in the series Klassiker der exakten Wissenschaften (Ostwald's Classics of the Exact Sciences), in particular on Euler's work on functional theory, Gauss's diary, and Felix Klein's Erlangen program.
He was also involved in the publication of Johann Christian Poggendorff's Biographical and Literary Pocket Dictionary of the History of Exact Sciences.