On \(B\)-injectors of the covering groups of \(A_n\). (English) Zbl 1167.20002
Summary: A \(B\)-injector in an arbitrary finite group \(G\) is defined as a maximal nilpotent subgroup of \(G\), containing a subgroup \(A\) of \(G\) of maximal order satisfying \(\text{class}(A)\leq 2\). The aim of this paper is to determine the \(B\)-injector of the covering groups of \(A_n\).
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