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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.
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.
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.
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