The authors disprove the conjecture that γ(G)=9/2 characterizes A5 among nonsolvable groups by proving a direct-product compensation formula and exhibiting explicit nilpotent N such that γ(A5 × N)=9/2.
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A compensation theorem for the Sylow-integral invariant and counterexamples to an \texorpdfstring{$A_5$}{A5}-characterization conjecture
The authors disprove the conjecture that γ(G)=9/2 characterizes A5 among nonsolvable groups by proving a direct-product compensation formula and exhibiting explicit nilpotent N such that γ(A5 × N)=9/2.