Abstract
The characterization ofA 5 is obtained through the method of calculation. The main result is described as the following:
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1)
The order ofA 5 is one, two, three or five.
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2)
The element ofA 5 is divided into five conjugate classes.
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3)
There are fifty and nine subgroup inA 5 and we can obtain one produce element in every subgroup.
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4)
There are nine conjugate classes in the subgroup ofA 5.
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References
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Shi Wujie, Yang Wenze. A new characterization ofA 5 and the finite groups in which every element has prime order.Journal of Southwest Teachers University, 1984,3(1):36–40
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Supported by the Natural Science Foundation of Hubei Province
Huang Benwen: born in Oct. 1948, Associate professor
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Benwen, H. The characterization ofA 5 . Wuhan Univ. J. Nat. Sci. 2, 405–410 (1997). https://doi.org/10.1007/BF02830243
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DOI: https://doi.org/10.1007/BF02830243