A generalization of the probability that the commutator of two group elements is equal to a given element

Ahmad M. A. Alghamdi (Umm Alqura University; Francesco G. Russo (Universita' degli Studi di Palermo; Italy); Makkah; Palermo; Saudi Arabia)

arxiv: 1004.0934 · v5 · pith:KSGF4G6Enew · submitted 2010-04-06 · 🧮 math.GR · math.RT

A generalization of the probability that the commutator of two group elements is equal to a given element

Ahmad M. A. Alghamdi (Umm Alqura University , Makkah , Saudi Arabia) , Francesco G. Russo (Universita' degli Studi di Palermo , Palermo , Italy) This is my paper

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keywords groupcommutatorelementelementsequalgivenprobabilityauthors

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The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.

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A generalization of the probability that the commutator of two group elements is equal to a given element

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