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This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer's induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet's result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan's example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail. A student friendly introduction to ordinary representation theory Many examples and exercises, including solutions for some of them, make the book well suited for self-study Leads coherently from ordinary character theory to the integral representation theory of lattices over orders Several topics appear for the fi rst time in a textbook, such as Sin-Willems' approach to self-dual simple modules and Swan's example of a stably free non free ideal.
A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Brou 's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure." The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.
How can organizations complete a major business model transformation and how can leaders successfully guide their business through this radical shift? As markets are constantly transformed by new technologies and disruptor competitors, once successful business models designed to function in a different time now struggle as the mainstream changes. This book is the guide for organizations looking to turn downward trends into upward momentum and gain an edge on the competition. Now in its second edition, this book offers practical advice on how to understand the fit of an existing business model and reconstruct it with a forward-thinking approach. New illustrative case studies of global organizations which have boldly transformed offer examples for change, including SAP, Netflix and Daimler. Business transformation is presented as a leadership challenge and methods to realize and implement opportunities for innovation company-wide are discussed in detail. Radical Business Model Transformation is essential reading for business leaders, transformation experts and MBA students interested in ensuring that their business model is future-proof and can withstand the new proliferation of innovations set to transform the business landscape.
Markets have been transformed by an ever-increasing amount of disruptive technologies and disruptor companies. Once successful business models designed to function in a different time now struggle as the mainstream changes. Radical Business Model Transformation provides the guide for leaders of organizations looking to turn downward trends into upward momentum and gain the competitive edge on the competition. Now in its second edition, this book offers practical advice on how to understand the fit of an existing business model and reconstruct it with a forward-thinking approach. New illustrative case studies with a global emphasis include organizations which have boldly transformed, including SAP, Netflix and Daimler, as examples for change. Business transformation is presented as a leadership challenge and methods to realize and implement opportunities for innovation company-wide are discussed in detail. Radical Business Model Transformation is essential reading for business leaders, transformation experts and MBA students interested in ensuring that their business model is future-proof and can withstand the new proliferation of innovations set to transform the business landscape.
Durch den zunehmenden Einsatz von Computern in nahezu allen Lebensbereichen erhoeht sich die Menge verfugbarer Information extrem. Die Nutzung dieser Daten fuhrt zu immer groesseren betriebswirtschaftlichen und technischen Systemen, die zu komplex sind, um von Menschen verstanden zu werden. Als Ausgleich fur dieses Manko wird im Rahmen der Digitalisierung versucht, intelligente Verfahren einzusetzen, die dem Menschen dabei helfen, die Systeme zu verstehen und zu steuern. In diesem Buch wird eine Theorie vorgestellt, die die systemischen Grenzen fur diesen Ansatz aufzeigt und Alternativen vorschlagt. Systeme koennen nur dann nachhaltig und rational gemanagt werden, wenn die Konsequenzen von Entscheidungen auch verstanden werden koennen. Systeme mit entsprechenden strukturellen Eigenschaften sind mittel- und langfristig deutlich rentabler und uberlebensfahiger. Der Text spiegelt die Erfahrung von mehr als 20 Jahren Beratungstatigkeit der Autoren wider.
Die Bedeutung der strategischen Planung nimmt in dem Masse zu, wie Unternehmen sich durch Fusionen, Zu- und Verkaufe verandern und das Geschaft komplexer wird. Grossunternehmen und Konzerne, zunehmend aber auch Mittelstandler, haben heute zwischen 30 und 150 selbststandige, eigenverantwortliche Geschaftseinheiten (in zahlreichen Regionen und Landern), wobei nicht selten so heterogene Sparten wie Kernkraft und Mobilfunk unter dem Dach eines einzigen Konzerns versammelt sind. UEblicherweise entwickeln alle Geschaftseinheiten jeweils einmal jahrlich ihre eigene Strategie. Zur Loesung dieser Problematik wurde eine Strategieplattform zur Erleichterung der Erarbeitung einer Gesamtstrategie entwickelt, die von namhaften Unternehmen wie REWE, DB, Siemens u.a. seit mehreren Jahren eingesetzt wird. Dieses Buch stellt das strategische Informationssystem praxisnah in mehreren Best-Practice-Beispielen des Einsatzes bei namhaften Firmen, anwenderorientiert und unter Einbeziehung der genannten Problemhintergrunde vor.
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