On p-nilpotence and ICΦ -subgroups of finite groups
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Contributors
Abstract
A subgroup H of a group G is said to be an ICΦ -subgroup of G if H∩ [H, G] ≤ Φ (H). We prove the p-nilpotency of a finite group G under the assumption that certain p-subgroups of G are ICΦ -subgroups of G. Our main result generalizes and extends some recent work of Gao and Li [1].
Details
Original language | English |
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Pages (from-to) | 355-359 |
Number of pages | 5 |
Journal | Acta Mathematica Hungarica |
Volume | 165 |
Issue number | 2 |
Publication status | Published - 3 Sept 2021 |
Peer-reviewed | Yes |
External IDs
Scopus | 85114141553 |
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Mendeley | 2903a25f-2d3d-33b2-8eb4-9e3ac55c4dcb |