On the commuting probability and supersolvability of finite groups.
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Publication:403824
DOI10.1007/s00605-013-0535-9zbMath1300.20034arXiv1310.8401OpenAlexW2142185965MaRDI QIDQ403824
Yong Yang, Paul Lescot, Hung Ngoc Nguyen
Publication date: 29 August 2014
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.8401
Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Probabilistic methods in group theory (20P05)
Related Items (12)
Commutativity Degree of Crossed Modules ⋮ Probabilistic properties of the relative tensor degree of finite groups. ⋮ Supersolvability and nilpotency in terms of the commuting probability and the average character degree ⋮ Groups satisfying identities with high probability ⋮ Unnamed Item ⋮ On some probabilistic aspects of (generalized) dicyclic groups ⋮ Subgroups with large relative commutativity degree ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ Hultman Numbers and Generalized Commuting Probability in Finite Groups ⋮ Finite groups with five relative commutativity degrees ⋮ Unnamed Item ⋮ COMMUTING PROBABILITY OF COMPACT GROUPS
Uses Software
Cites Work
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- What is the Probability that Two Group Elements Commute?
- Some Supersolvability Conditions for Finite Groups
- Endliche Gruppen I
- The classification of prime-power groups.
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