Word Length Perturbations in Certain Symmetric Presentations of Dihedral Groups

Given a finite group with a generating subset there is a well-established notion of length for a group element given in terms of its minimal length expression as a product of elements from the generating set. Recently, certain quantities called $\lambda_{1}$ and $\lambda_{2}$ have been defined that allow for a precise measure of how stable a group is under certain types of small perturbations in the generating expressions for the elements of the group. These quantities provide a means to measure differences among all possible paths in a Cayley graph for a group, establish a group theoretic analog for the notion of stability in nonlinear dynamical systems, and play an important role in the application of groups to computational genomics. In this paper, we further expose the fundamental properties of $\lambda_{1}$ and $\lambda_{2}$ by establishing their bounds when the underlying group is a dihedral group. An essential step in our approach is to completely characterize so-called symmetric presentations of the dihedral groups, providing insight into the manner in which $\lambda_{1}$ and $\lambda_{2}$ interact with finite group presentations. This is of interest independent of the study of the quantities $\lambda_{1},\; \lambda_{2}$. Finally, we discuss several conjectures and open questions for future consideration

Right Research

"Educational institutions play an instrumental role in social and political change, and are responsible for the environmental and social ethics of their institutional practices. The essays in this volume critically examine scholarly research practices in the age of the Anthropocene, and ask what accountability educators and researchers have in ‘righting’ their relationship to the environment. The volume further calls attention to the geographical, financial, legal and political barriers that might limit scholarly dialogue by excluding researchers from participating in traditional modes of scholarly conversation. As such, Right Research is a bold invitation to the academic community to rigorous self-reflection on what their research looks like, how it is conducted, and how it might be developed so as to increase accessibility and sustainability, and decrease carbon footprint. The volume follows a three-part structure that bridges conceptual and practical concerns: the first section challenges our assumptions about how sustainability is defined, measured and practiced; the second section showcases artist-researchers whose work engages with the impact of humans on our environment; while the third section investigates how academic spaces can model eco-conscious behaviour. This timely volume responds to an increased demand for environmentally sustainable research, and is outstanding not only in its interdisciplinarity, but its embrace of non-traditional formats, spanning academic articles, creative acts, personal reflections and dialogues. Right Research will be a valuable resource for educators and researchers interested in developing and hybridizing their scholarly communication formats in the face of the current climate crisis.

Right Research

"Educational institutions play an instrumental role in social and political change, and are responsible for the environmental and social ethics of their institutional practices. The essays in this volume critically examine scholarly research practices in the age of the Anthropocene, and ask what accountability educators and researchers have in ‘righting’ their relationship to the environment. The volume further calls attention to the geographical, financial, legal and political barriers that might limit scholarly dialogue by excluding researchers from participating in traditional modes of scholarly conversation. As such, Right Research is a bold invitation to the academic community to rigorous self-reflection on what their research looks like, how it is conducted, and how it might be developed so as to increase accessibility and sustainability, and decrease carbon footprint. The volume follows a three-part structure that bridges conceptual and practical concerns: the first section challenges our assumptions about how sustainability is defined, measured and practiced; the second section showcases artist-researchers whose work engages with the impact of humans on our environment; while the third section investigates how academic spaces can model eco-conscious behaviour. This timely volume responds to an increased demand for environmentally sustainable research, and is outstanding not only in its interdisciplinarity, but its embrace of non-traditional formats, spanning academic articles, creative acts, personal reflections and dialogues. Right Research will be a valuable resource for educators and researchers interested in developing and hybridizing their scholarly communication formats in the face of the current climate crisis.

Right Research: Modelling Sustainable Research Practices in the Anthropocene

The year 2020 started with a massive bushfire crisis in south eastern Australia, resulting in disruption to many communities, the loss of lives and businesses, an estimated loss of a billion animals and the dirtiest air on the planet in the cities of Sydney, Newcastle and Canberra. With record-high temperatures and a punishing draught lasting several years, the Australian bush was primed to explode into flames. With lightning strikes in national parks, the spontaneous eruptions of bushfire spread from the north coast to the south and inland towards the alpine regions of New South Wales and Victoria. With the very hot year of 2019 affecting other parts of the planet in 2020, the Antarctic Peninsula reached a record 65 degrees Fahrenheit. The chapter that follows reflects the new progressive politics of climate change that emerged in 2019 with large mass demonstrations taking place in Australia and around the world and examines the critical role of universities in the mitigation of climate catastrophe. The following interventions are variably focused on the concept of ‘Living Labs’ where thinking is developed within a problem-solving ethos. The three contributions here offer ways to think about sustainability with specific reference to waste recovery, environmental awareness in urban settings and the contribution that a ‘repair’ mentality can make to a shared and re-cycled economy. With a clear-eyed recommendation that mitigation of climate change starts locally, the premise of the paper is that people can work with what is available as local solutions to specific problems. The impact of this approach can be essential to people who sense the impending catastrophe and who may have experienced the crisis directly through compromises in their health outcomes, the experience of trauma and the loss of property and livelihoods, though through no fault of their own. The links through the Western Sydney University campus, common ground to the authors to both its small bushland outpost and further to the local community it serves, suggest that the boundaries of the campus are permeable – and that Living Labs are both a means and metaphor for thinking about how the campus opens learning and knowledge creation about sustainability for its students, staff and community constituents

Columbus State University Honors College: Senior Theses, Fall 2021/Spring 2022

This is a collection of senior theses written by honors students at Columbus State University during the Fall 2021 and Spring 2022 semesters.https://csuepress.columbusstate.edu/honors_theses/1003/thumbnail.jp

Stinging the Predators: A collection of papers that should never have been published

This ebook collects academic papers and conference abstracts that were meant to be so terrible that nobody in their right mind would publish them. All were submitted to journals and conferences to expose weak or non-existent peer review and other exploitative practices. Each paper has a brief introduction. Short essays round out the collection

LIPIcs, Volume 244, ESA 2022, Complete Volume

LIPIcs, Volume 244, ESA 2022, Complete Volum