Cyclic subgroup commutativity degrees of finite groups
Tărnăuceanu, Marius1 ; Lazorec, Mihai-Silviu1
1 University “Al. I. Cuza”, Iasi, Romania
Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 225-240.

In this paper we introduce and study the concept of cyclic subgroup commutativity degree of a finite group G. This quantity measures the probability of two random cyclic subgroups of G commuting. Explicit formulas are obtained for some particular classes of groups. Acriterion for a finite group to be an Iwasawa group is also presented.

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Publié le :
DOI : 10.4171/RSMUP/139-9
Classification : 20
Mots-clés : Cyclic subgroup commutativity degree, subgroup commutativity degree, poset of cyclic subgroups, subgroup lattice
Tărnăuceanu, Marius 1 ; Lazorec, Mihai-Silviu 1

1 University “Al. I. Cuza”, Iasi, Romania 
@article{RSMUP_2018__139__225_0,
     author = {T\u{a}rn\u{a}uceanu, Marius and Lazorec, Mihai-Silviu},
     title = {Cyclic subgroup commutativity degrees of finite groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {225--240},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {139},
     year = {2018},
     doi = {10.4171/RSMUP/139-9},
     mrnumber = {3825188},
     zbl = {1412.20014},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/139-9/}
}
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Tărnăuceanu, Marius; Lazorec, Mihai-Silviu. Cyclic subgroup commutativity degrees of finite groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 225-240. doi : 10.4171/RSMUP/139-9. http://www.numdam.org/articles/10.4171/RSMUP/139-9/

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