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

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)203-211
Number of pages9
JournalBulletin of the Australian Mathematical Society
Volume99
Issue number2
DOIs
Publication statusPublished - Apr 2019

Cite this

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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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language = "English",
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issn = "0004-9727",
publisher = "Cambridge University Press",
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ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE. / Glasby, S. P.; Niemeyer, Alice C.; Popiel, Tomasz.

In: Bulletin of the Australian Mathematical Society, Vol. 99, No. 2, 04.2019, p. 203-211.

Research output: Contribution to journalArticle

TY - JOUR

T1 - ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE

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

U2 - 10.1017/S0004972718000928

DO - 10.1017/S0004972718000928

M3 - Article

VL - 99

SP - 203

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JO - Bulletin of Australian Mathematical Society

JF - Bulletin of Australian Mathematical Society

SN - 0004-9727

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