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On fusion systems of component type

This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the...

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Autor principal: Aschbacher, Michael
Lenguaje:eng
Publicado: American Mathematical Society 2018
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Acceso en línea:http://cds.cern.ch/record/2675427
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author Aschbacher, Michael
author_facet Aschbacher, Michael
author_sort Aschbacher, Michael
collection CERN
description This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the finite simple groups. Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.
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spelling cern-26754272021-04-21T18:24:52Zhttp://cds.cern.ch/record/2675427engAschbacher, MichaelOn fusion systems of component typeMathematical Physics and MathematicsThis memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the finite simple groups. Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.American Mathematical Societyoai:cds.cern.ch:26754272018
spellingShingle Mathematical Physics and Mathematics
Aschbacher, Michael
On fusion systems of component type
title On fusion systems of component type
title_full On fusion systems of component type
title_fullStr On fusion systems of component type
title_full_unstemmed On fusion systems of component type
title_short On fusion systems of component type
title_sort on fusion systems of component type
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2675427
work_keys_str_mv AT aschbachermichael onfusionsystemsofcomponenttype