Have a personal or library account? Click to login
New aspects in polygroup theory Cover

References

  1. [1] Ana Castelaz−Commutativity degree of finite groups, A Thesis Submitted to the Graduade Faculty of Wake Forest University, in Partial Fulfillment of the Requirements for the degree of Masters of Arts in the Departament of Mathematics, North Carolina, May (2010).
  2. [2] Piergiulio Corsini− Introducere în teoria hipergrupurilor, Ed. Universităt¸ii Alexandru Ioan Cuza, Iaşi, (1998).
  3. [3] Piergiulio Corsini, Violeta Leoreanu− Applications of hyperstructures theory, Kluwer Academic Publishers Boston/Dordrechtt/London.
  4. [4] Bijan Davvaz− Polygroup Theory and Related Systems, World Scientific Publishing.
  5. [5] Paul Erdős, Pál Turán− On Some Problems of a Statistical Group Theory, Acta Mathematica Academiae Scientiarum Hungaricae Tomus 19 (3−4), pp.413 − 435, (1968).10.1007/BF01894517
  6. [6] W.H. Gustafson − What is the probability that two group elements commute?, Am. Math. Mon, 80(9):1031 − 1034, (1974).10.1080/00029890.1973.11993437
  7. [7] Azam Hokmabadi, Fahimeh Mohammadzadeh and Elaheh Mohammadzade The commutativity degree of a polygroup, The 6th International Group Theory Conference, 12-13 March 2014, Golestan University, Gorgan, Iran, 88-91.
  8. [8] Li Hongxing, Duan Qinzi and Wang Peizhuang − Hypergroup (I), Busefal, Vol.23, (1985).
  9. [9] Desmond MacHale − How commutative can a non-commutative group be?, The Mathematical Gazette, Vol. 58, No. 405, pp. 199 − 202, (1974).10.2307/3615961
  10. [10] G. Miller−Relative number of non-invariant operators in a group,Prco. Nat. Acad. Sci, USA, 30(2):25 − 28, (1944).10.1073/pnas.30.2.25107866016578104
  11. [11] Marius Tărnăuceanu − Subgroup commutativity degrees of finite groups, Journal of Algebra, 337, pp. 363 − 368, (2011).10.1016/j.jalgebra.2011.05.001
DOI: https://doi.org/10.2478/auom-2020-0044 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 241 - 254
Submitted on: Dec 27, 2019
Accepted on: Feb 17, 2020
Published on: Dec 28, 2020
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2020 Andromeda Cristina Sonea, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.