Digital Repository

Topics in Homological Algebra

Show simple item record

dc.contributor.advisor PISOLKAR, SUPRIYA
dc.contributor.author R, PAVITH
dc.date.accessioned 2022-12-15T10:35:15Z
dc.date.available 2022-12-15T10:35:15Z
dc.date.issued 2022-12
dc.identifier.citation 71 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7507
dc.description.abstract Homological algebra is the study of homology in an algebraic setting. In this project we explore various standard tools of homological algebra such as Ext groups, Tor groups, Long exact sequence of cohomology etc, and the concepts required to realize those tools such as projective modules and resolutions, cochain complexes, etc. We also present a few topics from category theory initially to better understand these tools. We then focus on the specific case of group cohomology and related results which we apply to profinite groups. Finally we apply a few results from cohomology of profinite group to arrive at the Golod-Shafarevich inequality for finite p-groups. en_US
dc.language.iso en en_US
dc.subject homological algebra en_US
dc.subject Golod-Shafarevich inequality en_US
dc.subject group cohomology en_US
dc.subject profinite groups en_US
dc.title Topics in Homological Algebra en_US
dc.type Thesis en_US
dc.description.embargo no embargo en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Mathematics en_US
dc.contributor.registration 20171107 en_US


Files in this item

This item appears in the following Collection(s)

  • MS THESES [1705]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

Show simple item record

Search Repository


Advanced Search

Browse

My Account