On sylow intersections

Marcel Herzog

doi:10.1090/S0002-9939-1973-0310055-4

On sylow intersections

Marcel Herzog

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be a finite group, and let P be its Sylow p-subgroup. Suppose that O_p(G) = 1 and Ω(P) is abelian. Then there exists a Sylow p-subgroup P₁ of G such that P∩P_lz=l.

Original language	English
Pages (from-to)	352-354
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	37
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1973-0310055-4
State	Published - Feb 1973

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title = "On sylow intersections",

abstract = "Let G be a finite group, and let P be its Sylow p-subgroup. Suppose that Op(G) = 1 and Ω(P) is abelian. Then there exists a Sylow p-subgroup P1 of G such that P∩Plz=l.",

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AB - Let G be a finite group, and let P be its Sylow p-subgroup. Suppose that Op(G) = 1 and Ω(P) is abelian. Then there exists a Sylow p-subgroup P1 of G such that P∩Plz=l.

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On sylow intersections

Abstract

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