On Conjugacy Class Sizes of the p′-Elements with Prime Power Order
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In this paper we prove that a finite p-solvable group G is solvable if its every conjugacy class size of p′-elements with prime power order equals either 1 or m for a fixed integer m. In particular, G is 2-nilpotent if 4 does not divide every conjugacy class size of 2′-elements with prime power order.
2011 ◽
Vol 85
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pp. 476-481
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2013 ◽
Vol 88
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pp. 297-300
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2018 ◽
Vol 44
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pp. 405-408
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2013 ◽
Vol 13
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pp. 1350100
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2018 ◽
Vol 98
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pp. 251-257
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2012 ◽
Vol 56
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pp. 303-336
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1996 ◽
Vol 39
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pp. 346-351
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