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 - Glasby, S. P.

AU - Niemeyer, Alice C.

AU - Popiel, Tomasz

PY - 2019/4

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N2 - 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)

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

KW - Sylow subgroup

KW - Lie rank

KW - ORDERS

UR - https://www.scopus.com/pages/publications/85052996884

U2 - 10.1017/S0004972718000928

DO - 10.1017/S0004972718000928

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JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -

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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