Quasi-NC groups

Lijian An LMAM, School of Mathematics Science, Peking University, Beijing, China; Department of Mathematics, Shanxi Normal University, Linfen, Shanxi, ChinaCorrespondence[email protected]

Haipeng Qu Department of Mathematics, Shanxi Normal University, Linfen, Shanxi, China

Mingyao Xu LMAM, School of Mathematics Science, Peking University, Beijing, China

Chongsheng Yang LMAM, School of Mathematics Science, Peking University, Beijing, China

Abstract

A finite group G is called a “quasi-NC group” if for any abelian subgroup A, either A⊴G or C _G(A) = N _G(A). In this article, quasi-NC groups are determined.

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2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

This work was supported by NSFC (no. 10671114) and by NSF of Shanxi Province (no. 20051007).

Notes

Communicated by A. Turull.

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Quasi-NC groups

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Quasi-NC groups

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ACKNOWLEDGMENT

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