COMMUTATIVITY DEGREE OF A CLASS OF FINITE GROUPS AND CONSEQUENCES
2013 ◽
Vol 88
(3)
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pp. 448-452
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AbstractThe commutativity degree of a finite group is the probability that two randomly chosen group elements commute. The object of this paper is to compute the commutativity degree of a class of finite groups obtained by semidirect product of two finite abelian groups. As a byproduct of our result, we provide an affirmative answer to an open question posed by Lescot.
2019 ◽
Vol 19
(10)
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pp. 2050198
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1979 ◽
Vol 20
(1)
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pp. 57-70
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1969 ◽
Vol 21
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pp. 684-701
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1980 ◽
Vol 32
(3)
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pp. 714-733
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1999 ◽
Vol 60
(2)
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pp. 177-189
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1977 ◽
Vol 20
(3)
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pp. 229-232
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1994 ◽
Vol 36
(2)
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pp. 241-247
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