English
norskGroup Cohomology and Extensions
Permanent link
https://hdl.handle.net/10037/16251
Date
2019-08-31Type
Master thesisMastergradsoppgave
Abstract
The goal of this thesis is to classify all extensions where the kernel has order p^s and the cokernel has order p^t, p is a prime, and 1 ≤ s,t ≤ 2. We determine (up to weak congruence) the different combinations of kernel, cokernel and operators, and for each case, calculate the second cohomology group. By comparing resolutions, we get an explicit correspondence between the second cohomology group and the group of congruence classes of extensions. Using this construction, we determine (up to congruence) the extensions for the different combinations.
Publisher
UiT Norges arktiske universitetUiT The Arctic University of Norway
Metadata
Show full item recordCollections
Copyright 2019 The Author(s)
The following license file are associated with this item:
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Related items
Showing items related by title, author, creator and subject.
-
Using social norms to reduce men’s rape proclivity : Perceived rape myth acceptance of out-groups may be more influential than that of in-groups
(Journal article; Tidsskriftartikkel; Peer reviewed, 2010) -
Group dynamics in a group‐based, individualized physiotherapy intervention for people with multiple sclerosis: A qualitative study
(Journal article; Tidsskriftartikkel; Peer reviewed, 2019-12-27)<i>Objective</i> - Group‐based physiotherapy is a common and beneficial intervention for people with multiple sclerosis (MS). Most group interventions are not individually adapted to each participant's needs. Evidence on how individualization and group elements can be combined in a clinical setting is lacking. The objective of this study is to expand the knowledge base in neurological physiotherapy ... -
Use of group based trajectory modelling to identify groups based on trajectories obtained for overall number of antibiotics prescription to children age 0-3 years in Norway during year 2004 to 2017
(Master thesis; Mastergradsoppgave, 2020-12-01)Bacterial infection occur frequently in children. In 2015 more than 900,000 children below 5 years were killed due to respiratory tract infections (RTIs). Early life onset and prolonged use of antibiotics in children can leads to health complications later in life. Antibiotics prescribing in young children is affected by many factors and identifying these factors can provide an opportunity to develop ...
