ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE

S. P. Glasby; Alice C. Niemeyer; Tomasz Popiel

doi:10.1017/S0004972718000928

ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE

S. P. Glasby, Alice C. Niemeyer, Tomasz Popiel

Mathematics and Statistics

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

Abstract

Let T be a finite simple group of Lie type in characteristic p, and let S be a Sylow subgroup of T with maximal order. It is well known that S is a Sylow p-subgroup except for an explicit list of exceptions and that S is always 'large' in the sense that vertical bar T vertical bar(1/3) <vertical bar S vertical bar

Original language	English
Pages (from-to)	203-211
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	99
Issue number	2
DOIs	https://doi.org/10.1017/S0004972718000928
Publication status	Published - Apr 2019

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10.1017/S0004972718000928

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title = "ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE",

abstract = "Let T be a finite simple group of Lie type in characteristic p, and let S be a Sylow subgroup of T with maximal order. It is well known that S is a Sylow p-subgroup except for an explicit list of exceptions and that S is always 'large' in the sense that vertical bar T vertical bar(1/3) ",

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author = "Glasby, {S. P.} and Niemeyer, {Alice C.} and Tomasz Popiel",

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AU - Popiel, Tomasz

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AB - Let T be a finite simple group of Lie type in characteristic p, and let S be a Sylow subgroup of T with maximal order. It is well known that S is a Sylow p-subgroup except for an explicit list of exceptions and that S is always 'large' in the sense that vertical bar T vertical bar(1/3)

KW - simple group

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KW - Lie rank

KW - ORDERS

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JF - Bulletin of the Australian Mathematical Society

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ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE

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Finite linearly representable geometries and symmetry

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ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE

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Finite linearly representable geometries and symmetry

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