Projective Limits of Coleman Automorphism Groups

Jin Ke HAI, Rui Zhen LV

Acta Mathematica Sinica, Chinese Series ›› 2020, Vol. 63 ›› Issue (3) : 281-288.

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Acta Mathematica Sinica, Chinese Series ›› 2020, Vol. 63 ›› Issue (3) : 281-288. DOI: 10.12386/A2020sxxb0024
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Projective Limits of Coleman Automorphism Groups

  • Jin Ke HAI, Rui Zhen LV
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Abstract

In this note, a structure of the Coleman automorphism group of a finite solvable group is given by using the projection limit property of the group. As an application, it is proved that the Coleman outer automorphism group of a dihedral group is either 1 or an elementary abelian 2-group.

Key words

projection limit / Coleman automorphism / normalizer problem

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Jin Ke HAI, Rui Zhen LV. Projective Limits of Coleman Automorphism Groups. Acta Mathematica Sinica, Chinese Series, 2020, 63(3): 281-288 https://doi.org/10.12386/A2020sxxb0024

References

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