Finite groups with elements of prime power index
2015 ◽
Vol 14
(06)
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pp. 1550095
Keyword(s):
Let G be a finite group and let π be a set of primes. For an element x of G, let Ind G(x) denote the index of CG(x) in G. We prove that if Ind 〈a,x〉(x) is a π-number for every element a of prime power order in G, then Ind G(x) is a π-number.
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1986 ◽
Vol 40
(2)
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pp. 253-260
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Keyword(s):
2013 ◽
Vol 13
(02)
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pp. 1350100
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Keyword(s):
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2010 ◽
Vol 82
(2)
◽
pp. 293-304
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2009 ◽
Vol 02
(04)
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pp. 667-680
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Keyword(s):
2016 ◽
Vol 16
(07)
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pp. 1750134
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