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

DOI10.1017/S0004972718000928zbMath1504.20020arXiv1712.05899OpenAlexW2963874394WikidataQ115336873 ScholiaQ115336873MaRDI QIDQ4627563

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

Publication date: 11 March 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05899

zbMATH Keywords

Sylow subgroupsimple groupLie rank

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Good contributors to the order of the finite simple groups
• Cyclic matrices in classical groups over finite fields
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• The orders of the linear groups
• The orders of the classical simple groups
• Resultants of cyclotomic polynomials
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