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Moufang Loops and Groups with Triality are Essentially the Same Thing

groups with triality are not equivalent, hence the need for the word ``essentially.'';

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On Quaternions and Octonions

symmetry after an appropriate study of Moufang loops. The authors also describe the arithmetics of the quaternions and octonions. The book;

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Moufang Sets and Structurable Division Algebras

is regular on the remaining vertices; these regular normal subgroups are called the root groups, and they are assumed to be conjugate and to generate;

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The Moufang Loops of Order Less Than 64

Provides a wealth of examples of finite Moufang loops. Following a section on definitions, notation, and terminology, exhibits;

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Translation Generalized Quadrangles

in the theory of projective and affine planes. The notion of translation generalized quadrangle is a local analogue of the more global Moufang;

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The Structure of Spherical Buildings

is followed by a systematic study of the structure of spherical buildings and their automorphism groups based on the Moufang property. Moufang;

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Quadrangular Algebras. (MN-46)

yield the classification of exceptional Moufang quadrangles as a consequence. The book closes with a chapter on isotopes and the structure group;

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Clifford Algebras and the Classical Groups

The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately;

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Clifford Algebras and the Classical Groups

The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately;

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Topological Geometry

flavour and its linear algebra content. In this second edition Dr Porteous has taken the opportunity to add a chapter on triality which extends;

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New Directions in Dalit Culture

cultures, unacceptable to each-other, then there is some thing wrong. Dalits and "upper" caste Hindus in India are two such groups living in the;

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Violent Entrepreneurs

in their activities across the decade. Some groups wore state uniforms and others did not, but all of their members spoke and acted essentially the;

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Wondrous Words (Fun with English)

Words, words, words. Words that sound the same and mean different things or mean the same thing but sound different; words that are noises;

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The Structure of Affine Buildings. (AM-168)

Buildings is organized around the classification of spherical buildings and their root data as it is carried out in Tits and Weiss's Moufang;

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Phaselock Techniques

are offered for improved formulations. The work reflects the author's own research and many years of hands-on experience with phaselock loops;

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The American Jesus?

Is being a good American the same thing as being a good Christian? Are they the same thing? Are they opposed? Or perhaps they overlap;

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Cardinal Wiseman und seine Verdienste um die Wissenschaft und die Kirche

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Solar Flare Loops Observations and Interpretations

solar flare loops with microwave, hard X-ray, optical and EUV emissions, as well as the theories of their radiation, and electron acceleration;

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Groups as Agents

the reader how a belief in group agency can be reconciled with our understanding of individual agency and accountability. Groups as Agents;

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Groups as Agents

the reader how a belief in group agency can be reconciled with our understanding of individual agency and accountability. Groups as Agents;

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Physics with Excel and Python: Using the Same Data Structure Volume I

is possible because the basic techniques of vector and matrix calculation and array broadcasting are also achieved with spreadsheet techniques, and;

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The Reality of Social Groups

are composite material particulars, ontologically on a par with individuals and capable of figuring in their own right in descriptions and;

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The Criminal-Terror Nexus in Chechnya

, there are links that can help the reader understand the domestic and foreign problems that twenty-first century nation-states deal with;

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Trust Loops in Leadership

supervisors can solicit the contributions of those in the work group, creating a loop of cooperation. With the newfound trust, both the manager and;

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Group Dynamics

assignment specializes in the scientific definitions. A lot of scientists concern themselves with the formation, the types, and the complexity;

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Cross Examined

Are Islam and Christianity essentially the same? Should we seek to overcome divisions by seeing Muslims and Christians as part of one;

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Phase-Locked Loops

. In general setting, the Phase-Locked Loops are for synchronization purposes. The phase locked loops perspective hinges on the analysis, functions and;

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