Cohomology of infinite groups realizing fusion systems

buir.contributor.authorGündoğan, Muhammed Said
buir.contributor.authorYalçın, Ergün
dc.citation.epage1130en_US
dc.citation.issueNumber4en_US
dc.citation.spage1103en_US
dc.citation.volumeNumber14en_US
dc.contributor.authorGündoğan, Muhammed Saiden_US
dc.contributor.authorYalçın, Ergünen_US
dc.date.accessioned2020-02-20T11:19:50Z
dc.date.available2020-02-20T11:19:50Z
dc.date.issued2019-06
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractGiven a fusion system FF defined on a p-group S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize FF. We study these models when FF is a fusion system of a finite group G and prove a theorem which relates the cohomology of an infinite group model ππ to the cohomology of the group G. We show that for the groups GL(n, 2), where n≥5n≥5, the cohomology of the infinite group obtained using the Robinson model is different than the cohomology of the fusion system. We also discuss the signalizer functors P→Θ(P)P→Θ(P) for infinite group models and obtain a long exact sequence for calculating the cohomology of a centric linking system with twisted coefficients.en_US
dc.description.provenanceSubmitted by Evrim Ergin (eergin@bilkent.edu.tr) on 2020-02-20T11:19:50Z No. of bitstreams: 1 Cohomology_of_infinite_groups_realizing_fusion_systems.pdf: 351066 bytes, checksum: 977eb71a9993ead7b27feb2bbb1baced (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-20T11:19:50Z (GMT). No. of bitstreams: 1 Cohomology_of_infinite_groups_realizing_fusion_systems.pdf: 351066 bytes, checksum: 977eb71a9993ead7b27feb2bbb1baced (MD5) Previous issue date: 2019-06-07en
dc.identifier.doi10.1007/s40062-019-00240-5en_US
dc.identifier.eissn1512-2891
dc.identifier.issn2193-8407
dc.identifier.urihttp://hdl.handle.net/11693/53451
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttps://dx.doi.org/10.1007/s40062-019-00240-5en_US
dc.source.titleJournal of Homotopy and Related Structuresen_US
dc.subjectFusion systemsen_US
dc.subjectGraph of groupsen_US
dc.subjectCohomology of groupsen_US
dc.subjectSignalizer functoren_US
dc.titleCohomology of infinite groups realizing fusion systemsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Cohomology_of_infinite_groups_realizing_fusion_systems.pdf
Size:
342.84 KB
Format:
Adobe Portable Document Format
Description:
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: