ON CONJUGATE-ℨ-PERMUTABLE SUBGROUPS OF FINITE GROUPS
2013 ◽
Vol 12
(08)
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pp. 1350060
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Let ℨ be a complete set of Sylow subgroups of a finite group G, that is, for each prime p dividing the order of G, ℨ contains exactly one and only one Sylow p-subgroup of G, say Gp. Let C be a nonempty subset of G. A subgroup H of G is said to be C-ℨ-permutable (conjugate-ℨ-permutable) subgroup of G if there exists some x ∈ C such that HxGp = GpHx, for all Gp ∈ ℨ. We investigate the structure of the finite group G under the assumption that certain subgroups of prime power orders of G are C-ℨ-permutable (conjugate-ℨ-permutable) subgroups of G. Our results improve and generalize several results in the literature.
2018 ◽
Vol 11
(1)
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pp. 160
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2009 ◽
Vol 52
(1)
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pp. 145-150
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2015 ◽
Vol 14
(05)
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pp. 1550062
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2001 ◽
Vol 71
(2)
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pp. 169-176
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2017 ◽
Vol 16
(03)
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pp. 1750042
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2021 ◽
Vol 58
(2)
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pp. 147-156
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