Probability of mutually commuting n-tuples in some classes of compact groups

Bulletin of the Iranian Mathematical Society

Volumn 34, Issue 2, 2008, Pages 27-37

  Erfanian, A ^a   Russo, F ^b  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Commutativity degree; Compact groups; Mutually commuting n tuples; Topological groups

Indexed keywords

EID: 60849100781     PISSN: 10186301     EISSN: 1017060X     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

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3. M. D. Fried and M. Jarden, Field Arithmetic, Revised Edition, Ergebnisse, 11, Springer Verlag, New York, 2005.
4. P. X. Gallagher, The number of conjugacy classes in a finite group, Math. Z. 118 (1970) 175-179.
5. W. H. Gustafson, What is the probability that two groups elements commute?, Amer. Math. Monthly 80 (1973) 1031-1304.
6. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Springer Verlag, New York, 1963.
7. G. J. Sherman, What is the probability an automorphism fixes a group element?, Amer. Math. Monthly 82 (1975) 261-264.