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1. |
Record Nr. |
UNINA9910551837403321 |
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Autore |
Kühne Olaf <1973-> |
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Titolo |
Germany : Geographies of Complexity / / by Olaf Kühne, Florian Weber |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
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ISBN |
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Edizione |
[1st ed. 2022.] |
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Descrizione fisica |
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1 online resource (304 pages) |
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Collana |
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World Regional Geography Book Series, , 2363-9091 |
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Disciplina |
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Soggetti |
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Geography |
Regional economics |
Space in economics |
Europe - Politics and government |
Ecology |
Economic development |
Regional Geography |
Regional and Spatial Economics |
European Politics |
Environmental Sciences |
Development Studies |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Chapter 1. Introduction: Geographies of Complexity -- Chapter 2. Theoretical Framework of a Geography of Germany -- Chapter 3. The Physical Framework -- Chapter 4. Historical Developments – Aspects of German Division and Unification -- Chapter 5. Landscape Developments -- Chapter 6. Spatial Developments in Germany: Persistences, New Differences, and the Effort for Unity -- Chapter 7. Geographies of Complexity and their clarification -- Chapter 8. Regional Development -- Chapter 9. Résumé -- Index. |
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Sommario/riassunto |
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This book addresses the highly differentiated spatial, social, cultural and demographic structure(s) of Germany, with a particular focus on the reciprocal relations between different levels of spatial development. The historical development of Germany serves as a background in |
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order to provide context for the development of spatially relevant ideas and ideals (whether in relation to politics, landscape, or culture). In this regard, questions of divergence and convergence become highly salient. The book makes the complexity of spatial and social developments in Germany comprehensible. The neopragmatic approach adopted here allows bringing together different theoretical strands while providing a basis for independent regional geographic research at the same time. Beginning with an overview of the physical structures of Germany which provides the material point of departure for the societal development of Germany, key aspects of the German history are discussed. Particular attention is paid to the reciprocal influence between material substrate and notions of landscape. Here, specific ‘German’ trajectories of aesthetic and normative conceptions of landscape become clear. A common theme throughout the book are questions of divergence and of efforts towards convergence, which become evident when considering past and present economic, political, and demographic developments. Efforts to tackle current challenges, such as adapting to climate change and mitigating it, or securing raw materials, also become apparent. The complexity of spatial processes in Germany is illustrated in case study regions dealing with the challenges of structural change in traditional industrial regions (such as the Ruhr area), or e.g. efforts of Berlin to position and find itself as the capital of a unified Germany. Overall, the book shows how theory-driven regional geographic research can make spatiotemporal complexities tangible and comprehensible. |
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2. |
Record Nr. |
UNINA9910957558303321 |
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Autore |
Craven David A |
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Titolo |
Maximal Textrm {PSL}_2 Subgroups of Exceptional Groups of Lie Type |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2022 |
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©2022 |
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ISBN |
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9781470470210 |
9781470451196 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (168 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.276 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lie groups |
Maximal subgroups |
Exceptional Lie algebras |
Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type |
Group theory and generalizations -- Linear algebraic groups and related topics -- Exceptional groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Notation and Preliminaries -- Chapter 3. Maximal Subgroups -- Chapter 4. Maximal Subgroups and Subspace Stabilizers -- Chapter 5. Blueprint Theorems for Semisimple Elements -- 5.1. Preliminary Results -- 5.2. Determination of the Bounds for the Minimal Module -- 5.3. Consequences for Maximal Subgroups -- Chapter 6. Unipotent and Semisimple Elements -- 6.1. Actions of Unipotent Elements -- 6.2. Blueprints and Element Orders -- 6.3. Blueprints inside Subgroups of Type ₁ -- 6.4. Traces of Modules for \PGL₂ -- 6.5. The Graph Automorphism of ₄ -- 6.6. Rank-1 Subalgebras of the Lie Algebra -- Chapter 7. Modules for \SL₂ -- 7.1. Modules for \SL₂(2^{ }) -- 7.2. Modules for \SL₂(3^{ }) -- 7.3. Modules for \SL₂( ) -- 7.4. Modules for \SL₂( ^{ }) for ≥5 and > -- 1 -- Chapter 8. Some \PSL₂s inside ₆ in Characteristic 3 -- Chapter 9. Proof of the Theorems: Strategy -- Chapter 10. The Proof for ₄ -- 10.1. Characteristic 2 -- 10.2. |
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Characteristic 3 -- 10.3. Characteristic At Least 5 -- Chapter 11. The Proof for ₆ -- 11.1. Characteristic 2 -- 11.2. Characteristic 3 -- 11.3. Characteristic At Least 5 -- Chapter 12. The Proof for ₇ in Characteristic 2 -- Chapter 13. The Proof for ₇ in Odd Characteristic: \PSL₂ Embedding -- 13.1. Characteristic 3 -- 13.2. Characteristic At Least 5 -- Chapter 14. The Proof for ₇ in Odd Characteristic: \SL₂ Embedding -- 14.1. Characteristic 3 -- 14.2. Characteristic At Least 5 -- Appendix A. Actions of Maximal Positive-Dimensional Subgroups on Minimal and Adjoint Modules -- Appendix B. Traces of Small-Order Semisimple Elements -- Bibliography -- Back Cover. |
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Sommario/riassunto |
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"We study embeddings of PSL2(pa) into exceptional groups G(pb) for G = F4, E6, 2E6, E7, and p a prime with a, b positive integers. With a few possible exceptions, we prove that any almost simple group with socle PSL2(pa), that is maximal inside an almost simple exceptional group of Lie type F44, E6, 2E6 and E7, is the fixed points under the Frobenius map of a corresponding maximal closed subgroup of type A1 inside the algebraic group. Together with a recent result of Burness and Testerman for p the Coxeter number plus one, this proves that all maximal subgroups with socle PSL2(pa) inside these finite almost simple groups are known, with three possible exceptions (pa = 7, 8, 25 for E7). In the three remaining cases we provide considerable information about a potential maximal subgroup"-- |
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