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Reference.org
Hall–Petresco identity
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<p>In mathematics, the Hall–Petresco identity (sometimes misspelled Hall–Petrescu identity) is an identity holding in any group. It was introduced by Hall (1934) and Petresco (1954). It can be proved using the <a href="/facts/Commutator_collecting_process/f1IefaGS">commutator collecting process</a>, and implies that <i>p</i>-groups of small class are <a href="/facts/Regular_p-group/59bLBsAd">regular</a>. </p>