TY - JOUR
ID - 303
TI - A generalization of the probability that the commutator of two group elements is equal to a given element
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Alghamdi, Ahmad M. A.
AU - Russo, Francesco G.
AD - Department of Mathematics, University Umm Alqura
AD - Department of Mathematics, University of Palermo
Y1 - 2012
PY - 2012
VL - 38
IS - 4
SP - 973
EP - 986
KW - Commutativity degree
KW - relative n-th nilpotency degree
KW - probability of
commuting pairs
KW - characters
DO -
N2 - The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.
UR - http://bims.iranjournals.ir/article_303.html
L1 - http://bims.iranjournals.ir/article_303_c20073079049ede5f1ba75c86fa2eb03.pdf
ER -