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-  2017 

关于有限内幂零群和Frobenius群的Coleman自同构
On Coleman automorphisms of finite inner nilpotent groups and Frobenius groups

DOI: 10.6040/j.issn.1671-9352.0.2017.001

Keywords: 内幂零群,Coleman自同构,Frobenius群,正规化子问题,
normalizer problem
,inner nilpotent group,Coleman automorphism,Frobenius group

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Abstract:

摘要: 设G是有限群N通过有限群H的半直积。 证明了某些条件下G的每个Coleman自同构均为内自同构。
Abstract: Let G be a semidirect product of a finite group N by a finite group H. It is shown that under some conditions every Coleman automorphism of G is an inner automorphism

References

[1]  HERTWECK M. Class-preserving Coleman automorphisms of finite groups[J]. Monatash Math, 2002, 136:1-7.
[2]  KURZWEIL H, STELLMACHER B. The theory of finite groups[M]. Berlin: Spinger-Verlag, 2004.
[3]  海进科,王伟,何威萍.关于有限群Coleman自同构的一个注记[J]. 山东大学学报(理学版),2016, 51(4):35-38. HAI Jinke, WANG Wei, HE Weiping. A note on Coleman automorphisms of finitegroups[J]. Journal of Shandong University(Natural Science), 2016, 51(4):35-38.
[4]  GROSS F. Automorphisms which centralizes a Sylow <i>p-</i> subgroup[J]. J Algebra, 1982, 77(1):202-233.
[5]  海进科,李正兴. 有限ATI-群的类保持Coleman自同构[J]. 数学学报, 2010, 53(5): 891-896. HAI Jinke, LI Zhengxing. Class-preserving Coleman automorphisms of finite ATI-groups[J]. Acta Mathematica Sinica, 2010, 53(5):891-896.
[6]  SEHGAL S K. Units in integral group rings[M]. Harlow: Longman Scientific and Technical Press, 1993.
[7]  HERTWECK M, KIMMERLE W. Coleman automorphisms of finite groups[J]. Math Z, 2002, 242: 203-215.
[8]  BREWSTER B,WILCOX E. Complete finite semidirect products and wreath products[J]. Arch Math, 2011, 96:301-309.
[9]  DADE E C. Sylow-centralizing sections of outer automorphism groups of finitegroups are nilpotent[J]. Math Z, 1975, 141: 57-76.
[10]  海进科, 王玉雷. 具有一个T.I.Sylow 2-子群的有限群的类保持Coleman自同构[J]. 数学学报, 2008, 51(6): 1115-1118. HAI Jinke, WANG Yulei. Class-preserving Coleman automorphisms of finite groups with a T.I.Sylow 2-subgroup[J]. ActaMathematica Sinica, 2008, 51(6):1115-1118.

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