Advanced search
Publication Cover
Communications in Algebra Volume 35, 2007 - Issue 12
Submit an article Journal homepage
361
Views
46
CrossRef citations to date
0
Altmetric
Original Articles

On the Relative Commutativity Degree of a Subgroup of a Finite Group

A. Erfanian Department of Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
,
R. Rezaei Department of Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
&
P. Lescot INSSET, University of Picardie, Saint-Quentin, France; LAMFA, Faculty of Mathematics and Informatics, University of Picardie, Amiens, FranceCorrespondence[email protected]
Pages 4183-4197 | Received 28 Feb 2006, Published online: 13 Dec 2007

Citations (46)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (3)

Hamid Darabi & Mahdi Imanparast. (2022) Commutativity degree of chains of finite groups. Journal of Discrete Mathematical Sciences and Cryptography 0:0, pages 1-14.
Read now
M. Farrokhi$suffix/text()$suffix/text() & Hesam Safa. (2017) Subgroups with large relative commutativity degree. Quaestiones Mathematicae 40:7, pages 973-979.
Read now
Francesco G. Russo. (2016) Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups. Quaestiones Mathematicae 39:8, pages 1019-1036.
Read now

Articles from other publishers (43)

Eloisa Detomi, Marta Morigi & Pavel Shumyatsky. (2024) Commuting Probability for Approximate Subgroups of a Finite Group. The Quarterly Journal of Mathematics.
Crossref
Bernardo G. Rodrigues & Francesco G. Russo. (2024) A Characterization of Procyclic Groups via Complete Exterior Degree. Mathematics 12:7, pages 1018.
Crossref
M. Al-Tahan, B. Davvaz, P. Harikrishnan & P. Pallavi. (2024) Subpolygroup commutativity degree of finite extension polygroup. International Journal of Algebra and Computation 34:01, pages 55-68.
Crossref
Jutirekha Dutta, Dhiren Kumar Basnet & Rajat Kanti Nath. (2023) Characterization and commuting probability of n-centralizer finite rings. Proyecciones (Antofagasta) 42:6, pages 1489-1498.
Crossref
João Azevedo & Pavel Shumyatsky. (2023) Compact groups with high commuting probability of monothetic subgroups. Journal of Algebra 623, pages 34-41.
Crossref
João Azevedo & Pavel Shumyatsky. (2022) Compact groups with probabilistically central monothetic subgroups. Israel Journal of Mathematics 255:2, pages 955-973.
Crossref
Madeleine Al Tahan, Sarka Hoskova-Mayerova, B. Davvaz & A. Sonea. (2023) On subpolygroup commutativity degree of finite polygroups. AIMS Mathematics 8:10, pages 23786-23799.
Crossref
A. Lucchini. (2022) Applying extremal graph theory to a question on finite groups. Acta Mathematica Hungarica 168:1, pages 295-299.
Crossref
M. Farrokhi D. G.. (2022) Finite Groups with Five Relative Commutativity Degrees. Results in Mathematics 77:2.
Crossref
Norberto Gavioli, Avinoam Mann & Valerio Monti. (2022) The breadth-degree type of a finite p-group. Journal of Algebra 592, pages 477-488.
Crossref
Eloisa Detomi & Pavel Shumyatsky. (2021) On the commuting probability for subgroups of a finite group. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, pages 1-14.
Crossref
Seid Kassaw Muhie, Daniele Ettore Otera & Francesco G. Russo. (2021) Non-permutability Graph of Subgroups. Bulletin of the Malaysian Mathematical Sciences Society 44:6, pages 3875-3894.
Crossref
Abdollah Chashiani & Rashid Rezaei. (2021) On the commutativity degree of a group algebra. Afrika Matematika 32:5-6, pages 1137-1145.
Crossref
Armando Martino, Matthew C. H. Tointon, Motiejus Valiunas & Enric Ventura. (2021) Probabilistic nilpotence in infinite groups. Israel Journal of Mathematics 244:2, pages 539-588.
Crossref
Nurfarah Zulkifli & Nor Muhainiah Mohd Ali. (2020) RELATIVE COPRIME PROBABILITY FOR CYCLIC SUBGROUPS OF SOME DIHEDRAL GROUPS. Open Journal of Science and Technology 3:4, pages 314-321.
Crossref
Andromeda Cristina Sonea & Irina Cristea. (2020) The Class Equation and the Commutativity Degree for Complete Hypergroups. Mathematics 8:12, pages 2253.
Crossref
Francesco G. Russo & Peyman Niroomand. (2019) Finite Groups With Few Relative Tensor or Exterior Degrees. Bulletin of the Malaysian Mathematical Sciences Society 43:4, pages 3201-3219.
Crossref
Parama Dutta & Rajat Kanti Nath. (2020) Some bounds for relative autocommutativity degree. Proyecciones (Antofagasta) 39:3, pages 679-692.
Crossref
Costantino Delizia, Urban Jezernik, Primož Moravec & Chiara Nicotera. (2020) Gaps in probabilities of satisfying some commutator-like identities. Israel Journal of Mathematics 237:1, pages 115-140.
Crossref
H Muhammad, L Susilowati & Fatmawati. (2020) The proof of properties of dihedral group and its commutative elements. Journal of Physics: Conference Series 1494:1, pages 012003.
Crossref
Nurhidayah Zaid, Nor Haniza Sarmin & Sanhan Muhammad Salih Khasraw. On the probability and graph of some finite rings of matrices. On the probability and graph of some finite rings of matrices.
Nor Muhainiah Mohd Ali, Norarida Abd Rhani, Nor Haniza Sarmin & Ahmad Erfanian. The subset relative degree for two different sets in a finite group. The subset relative degree for two different sets in a finite group.
Jutirekha Dutta, Dhiren Kumar Basnet & Rajat Kanti Nath. (2017) On commuting probability of finite rings. Indagationes Mathematicae 28:2, pages 372-382.
Crossref
Fadhilah Abu Bakar, Nor Muhainiah Mohd Ali & Norarida Abd Rhani. The relative commutativity degree of noncyclic subgroups of nonabelian metabelian groups of order at most 14. The relative commutativity degree of noncyclic subgroups of nonabelian metabelian groups of order at most 14.
Nor Muhainiah Mohd Ali, Norarida Abd Rhani, Nur Athirah Jaafar & Nurfarhani Mustafa. The multiplicative degree of cyclic subgroups of nonabelian metabelian groups of order less than 24. The multiplicative degree of cyclic subgroups of nonabelian metabelian groups of order less than 24.
Kayvan Moradipour, Sheila Ilangovan & Roudin Teymourian. Non-commuting graphs of a finite p-group. Non-commuting graphs of a finite p-group.
MOHAMMAD REZA R MOGHADDAM, ESMAT MOTAGHI & MOHAMMAD AMIN ROSTAMYARI. (2016) The probability that a pair of group elements is autoconjugate. Proceedings - Mathematical Sciences 126:1, pages 61-68.
Crossref
Norarida Abd Rhani, Nor Muhainiah Mohd Ali, Nor Haniza Sarmin, Ahmad Erfanian & Muhanizah Abdul Hamid. Multiplicative degree of some dihedral groups. Multiplicative degree of some dihedral groups.
Peyman Niroomand & Francesco G. Russo. (2016) Probabilistic properties of the relative tensor degree of finite groups. Indagationes Mathematicae 27:1, pages 147-159.
Crossref
A. Erfanian & M. Farrokhi D.G.. (2015) Finite Groups with Four Relative Commutativity Degrees. Algebra Colloquium 22:03, pages 449-458.
Crossref
Rajat Kanti Nath & Manoj Kumar Yadav. (2015) Some results on relative commutativity degree. Rendiconti del Circolo Matematico di Palermo (1952 -) 64:2, pages 229-239.
Crossref
Rashid Rezaei & Ahmad Erfanian. (2014) A NOTE ON THE RELATIVE COMMUTATIVITY DEGREE OF FINITE GROUPS. Asian-European Journal of Mathematics 07:01, pages 1450017.
Crossref
Attila Maróti & Hung Ngoc Nguyen. (2014) On the number of conjugacy classes of π-elements in finite groups. Archiv der Mathematik 102:2, pages 101-108.
Crossref
Peyman Niroomand & Rashid Rezaei. (2013) The Exterior Degree of a Pair of Finite Groups. Mediterranean Journal of Mathematics 10:3, pages 1195-1206.
Crossref
B. TOLUE & A. ERFANIAN. (2012) RELATIVE NON-COMMUTING GRAPH OF A FINITE GROUP. Journal of Algebra and Its Applications 12:02, pages 1250157.
Crossref
Peyman Niroomand, Rashid Rezaei & Francesco G. Russo. (2012) COMMUTING POWERS AND EXTERIOR DEGREE OF FINITE GROUPS. Journal of the Korean Mathematical Society 49:4, pages 855-865.
Crossref
R.K. Nath & A.K. Das. (2011) On generalized commutativity degree of a finite group. Rocky Mountain Journal of Mathematics 41:6.
Crossref
Rashid Rezaei & Francesco G. Russo. (2012) BOUNDS FOR THE RELATIVE n-TH NILPOTENCY DEGREE IN COMPACT GROUPS. Asian-European Journal of Mathematics 04:03, pages 495-506.
Crossref
Marius Tărnăuceanu. (2011) Addendum to “Subgroup commutativity degrees of finite groups” [J. Algebra 321 (9) (2009) 2508–2520]. Journal of Algebra 337:1, pages 363-368.
Crossref
Mohammad Reza R. Moghaddam, Farshid Saeedi & Elaheh Khamseh. (2012) THE PROBABILITY OF AN AUTOMORPHISM FIXING A SUBGROUP ELEMENT OF A FINITE GROUP. Asian-European Journal of Mathematics 04:02, pages 301-308.
Crossref
F. Saeedi, M. Farrokhi D. G.S. H. Jafari. (2011) Subgroup normality degrees of finite groups I. Archiv der Mathematik 96:3, pages 215-224.
Crossref
Rashid Rezaei & Ahmad Erfanian. (2009) On the commutativity degree of compact groups. Archiv der Mathematik 93:4, pages 345-356.
Crossref
Marius Tărnăuceanu. (2009) Subgroup commutativity degrees of finite groups. Journal of Algebra 321:9, pages 2508-2520.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.