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We consider the Nielsen equivalence classes and Andrews–Curtis equivalence classes for finitely generated groups, specifically for the Grigorchuk–Gupta–Sidki groups which act on rooted trees. We then generalize a result of Myropolska to show that all torsion Grigorchuk– Gupta–Sidki groups have infinitely many Nielsen equivalence classes of generating pairs. Finally we deduce the number of Andrews–
In 1890, Friedrich Engel sketched a proof of a theorem relating the nilpotency of a Lie algebra to nilpotent linear transformations. A complete proof was later given by his student K.A. Umlauf. In this thesis, we introduce the theory of the finite-dimensional Lie algebras, with particular emphasis on linear Lie algebras and illustrative examples. We investigate the algebraic structure of Lie algeb
Spare parts inventory management in multi-echelon supply chains presents a significant optimisation challenge, particularly in the commercial vehicle aftermarket where partavailability directly aects vehicle uptime and customer retention. This thesis develops and evaluates a Mixed-Integer Linear Programming (MILP) model for jointly optimising reorder points and order quantities across a three-ech
Finding the solution to a large, nonsymmetric system of linear equations is a challenging problem in mathematics that often requires a lot of computational power. In this thesis, we provide a basis for understanding the Induced Dimension Reduction theorem. We introduce the IDR(s) theorem and the algorithm derived from it, which is a short recurrence method that addresses these challenges in an ef
This work aims to collect and present some important results on the finiteness of free Burnside groups of exponents 2,3,4. We focus mainly on understanding the order of the group through extensive computations along with the study of commutators and their nature in the studied groups.
This study aimed to screen and characterize unknown glucuronoyl esterases (GEs) belonging to bacterial carbohydrate esterase family 15 (CE15), which were CE15_6nl, CE15_13nl, and CE15_15nsp. First, purified proteins were obtained by heterologous expression in E. coli induced by IPTG. Next, nanoDSF assays were performed to determine the thermostability of CE15 enzymes under different pH conditions,
Increasing consumption of textiles in general and limited recyclability of blended textiles in particular have created a growing need for effective recycling technologies. Polyester/cotton blends are common and particularly challenging to recycle due to the combination of synthetic and natural fibers. In this study, ammonium bicarbonate-catalyzed glycolysis was used as a method for depolymerizing
Utvecklingen inom ramen för barnets bästa är onekligen ett aktuellt och intressant ämne. Bakom varje skilsmässa mellan två föräldrar som valt att skaffa gemensamma barn uppstår frågeställningen; hur ska vårdnaden för-delas? Vem ska barnen bos hos? Vem ska ha det största ansvaret? Vilken skola ska barnen gå på? Om sedan föräldrarna har svårt att komma överens, då får föräldrarna vända sig till en dThe development within the framework of the best interests of the child is undoubtedly a current and interesting subject. Behind every divorce between two parents who have chosen to have children together, the quest-ion arises; how should custody be divided? With whom should the children reside? Who should bear the primary responsibility? Which school should the children attend? If the parents the
Gas flaring is, apart from wasted energy, a source of greenhouse gases and air pollution associated with oil extraction activities. Despite this, small flares are often not included in existing global flaring inventories due to limitations in current detection methods. This study investigated whether satellite derived remote sensing data can be used to detect small gas flares in the Ecuadorian Ama
Efficient intracellular delivery of nucleic acid cargo remains a major challenge for lipid nanoparticle (LNP)-based delivery systems. Cell-penetrating peptides (CPPs) have been proposed as a possible strategy to improve this delivery process, but their efficiency is still limited by intracellular barriers, especially endosomal escape. In this thesis, CPP-mediated nucleic acid delivery was investig
Long waiting times for gender-affirming healthcare in Sweden have been described as a growing issue linked to centralized healthcare, limited resources, referral requirements that undermine gender self-determination, and extensive diagnostic assessments. Gatekeeping, waiting as a diagnostic tool, and discourses of gender normativity within trans-specific healthcare contribute to patients' suff
Migration is an extremely and increasingly pressing issue, it is currently being treated as a matter of national security and resource depletion. States are trying to discourage so-called voluntary (economic) migrants from claiming refugee status whilst also trying to integrate their refugees. This research suggests that voluntary and involuntary migrants are not necessarily two separate groups of
Early modern academic dissertations remain a largely underexplored resource. Yet this central genre of early modern academic life must have played a crucial role in shaping, transmitting, and producing knowledge. The sheer volume of dissertations produced underscores their significance. In Sweden alone over 21,000 dissertations were published between 1600 and 1820, defended at just three universit
This essay celebrates Professor Johannes Müller and his promotion of novel studies of inequality in the past. Here we reconsider the formation of the Nordic Bronze Age and the frictions that arose when a strong collective tradition was challenged by the new opportunities for individual enrichment available in a global bronze-led network, from c. 2100 BCE. What impact did this have on the scale of
Hur används Gamla testamentet i Svenska kyrkans gudstjänster, undervisning och församlingsliv? Vilka texter lyfts fram, vilka tonas ned – och vilka konsekvenser får det för kyrkans bibelbruk idag?Den levda bibeln samlar aktuell forskning om Gamla testamentets reception i Svenska kyrkan. I bokens artiklar undersöks hur Gamla testamentets texter tolkas, förmedlas och används i allt från evangeliebok
