A characterization of the groups PSLn(q) and PSUn(q) by their 2-fusion systems, q odd

Description

Let q be a nontrivial odd prime power, and let 𝑛 ≥ 2 be a natural number with (𝑛, 𝑞) ≠ (2, 3). We characterize the groups 𝑃𝑆𝐿𝑛(𝑞) and 𝑃𝑆𝑈𝑛(𝑞) by their 2-fusion systems. This contributes to a programme of Aschbacher aiming at a simplified proof of the classification of finite simple groups.

Links & Downloads

1. urn:nbn:de:bsz:14-qucosa2-917766
2. https://tud.qucosa.de/id/qucosa%3A91776
3. https://tud.qucosa.de/api/qucosa%3A91776/attachment/ATT-0/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:91776
Date	31 May 2024
Creators	Kaspczyk, Julian
Publisher	Cambridge Univ. Press
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	info:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rights	info:eu-repo/semantics/openAccess
Relation	2050-5094, e60, 10.1017/fms.2022.53