English
norskGroup Cohomology and Extensions
Permanent lenke
https://hdl.handle.net/10037/16251
Dato
2019-08-31Type
Master thesisMastergradsoppgave
Sammendrag
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.
Forlag
UiT Norges arktiske universitetUiT The Arctic University of Norway
Metadata
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Copyright 2019 The Author(s)
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