On π-Subpairs of π-Blocks

Alperin and Broua have given the p-subpairs in a finite group, and proved that there is a Sylow theorem for p-subpairs. For a pi -separable group with pi -Hall subgroup nilpotent, we prove that there is a pi -Sylow theorem for pi -subpairs. Note that our pi -subpairs are different from what Robinson...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2006-11, Vol.22 (6), p.1751-1756
Main Authors: Hai, Jin Ke, Zhu, Yi Xin
Format: Article
Language:English
Subjects:
Mathematical analysis
Subgroups
Theorems
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Summary:Alperin and Broua have given the p-subpairs in a finite group, and proved that there is a Sylow theorem for p-subpairs. For a pi -separable group with pi -Hall subgroup nilpotent, we prove that there is a pi -Sylow theorem for pi -subpairs. Note that our pi -subpairs are different from what Robinson and Staszewski gave.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-005-0866-0