The probability of an automorphism of an abelian group fixing a group element
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In this paper, we consider the probability of an automorphism of a finite abelian group fixing a group element. Explicit computations are made to find the fusion classes of a finite abelian groups. The probability of an automorphism fixing a group element is obtained in terms of fusion classes. We also compute the bounds of the probability for some particular cases.
2011 ◽
Vol 12
(01n02)
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pp. 125-135
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2019 ◽
Vol 150
(4)
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pp. 1937-1964
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2015 ◽
Vol 92
(1)
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pp. 24-31
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2008 ◽
Vol 18
(02)
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pp. 243-255
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2007 ◽
Vol 17
(04)
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pp. 837-849
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