Cambridge University Press apologizes for an error in this article:

A sentence in the article’s abstract originally appeared as below:

‘In the quest of a more structural version of the Herzog– Schönheim Conjecture, it was shown that there is no Steiner coset partition of G with respect to any $r\ge 2$ subgroups Hi that mutually commute [Reference Akman and Sissokho1].’

This should have been:

‘In the quest of a more structural version of the Herzog-Schönheim Conjecture, it was shown that there is no Steiner coset partition of G with respect to any $r\in \left\{2,3\right\}$ subgroups $H_i$ that mutually commute [Reference Akman and Sissokho1].’

An equation on page 12 originally appeared as below:

$$\begin{align*}a_J\stackrel{\mathrm{def}{=}}a_1^{j_1}\cdots a_n^{j_n} \in G , \end{align*}$$

This should have been:

$$\begin{align*}a_J \stackrel{\mathrm{def}}{=} a_{1}^{j_1} \cdots a_{n}^{j_n} \in G, \end{align*}$$