Products related to Groups:
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Galois Groups and Fundamental Groups
Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts.This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory.Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck.This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups.The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality.Key applications and recent results, for example on the inverse Galois problem, are given throughout.
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Braid Groups
Braids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades.Their association with permutations has led to their presence in a number of mathematical fields and physics.As central objects in knot theory and 3-dimensional topology, braid groups has led to the creation of a new field called quantum topology. In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links.Important results then treat the linearity and orderability of the subject.Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.
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Aparajitha groups
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Doing Focus Groups
Focus groups are a popular method for collecting qualitative data in the social sciences.Doing Focus Groups provides a concise, practical introduction to planning and organizing successful focus groups.Barbour discusses the advantages and limitations of using group discussion and demonstrates effective methods for collecting and analyzing data.This is a perfect how-to introduction to getting the most out of your focus group research.
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How does Antifa and similar groups organize themselves?
Antifa and similar groups organize themselves through decentralized networks and local chapters. They often use social media and online platforms to communicate and coordinate actions, as well as to share information and resources. Their organizing principles are often based on a horizontal structure, with a focus on direct action and grassroots mobilization. They also prioritize anonymity and security measures to protect their members and activities from surveillance and repression. Overall, their organizing approach is characterized by flexibility, adaptability, and a commitment to anti-fascist and anti-racist activism.
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How do you save all WhatsApp groups?
To save all WhatsApp groups, you can back up your chats to either Google Drive or iCloud depending on your device. This will ensure that all your group chats, messages, and media are saved securely. By regularly backing up your WhatsApp data, you can easily restore your groups in case you switch devices or accidentally delete the app. Additionally, make sure to enable the automatic backup feature to ensure that your groups are continuously saved.
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Are many Christian groups splinter groups?
Yes, there are many Christian groups that have splintered off from larger denominations or churches. These splinter groups often form due to disagreements over theology, doctrine, or church leadership. Some splinter groups may also form due to cultural or social differences within a larger denomination. While these splinter groups may be smaller in size, they often have their own distinct beliefs and practices that set them apart from the larger denomination.
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Which K-Pop groups are boy groups?
Some popular K-Pop boy groups include BTS, EXO, GOT7, NCT, SEVENTEEN, and MONSTA X. These groups are known for their catchy music, impressive choreography, and strong fan bases both in South Korea and internationally. Boy groups are a significant part of the K-Pop industry and have a large following of fans who support them through their music releases, performances, and variety show appearances.
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Bloody Blood Groups!
Ever wondered about your blood group and what it might mean?If so, Bloody Blood Groups is the book for you. Open it up and rummage around the facts and arguments to find what is relevant - you might be surprised at what you find!Blood groups have been associated with a genetic predisposition to disease, intelligence, personality, ability, psychopathy and, physical attributes and all of these are discussed in the book with some of the reported unfounded nonsense separated from proven scientific conclusions. Simply explained, but entertaining with its tales all written in humorous style, the book also has the author's own working life interspersed between the description of facts and tales surrounding the ideas around blood groups. But what is a blood group? And where is it found? Answering these questions, the author also brings to life some of the bizarre conclusions and assumptions earlier investigations have claimed.Are you especially intelligent as a consequence of your blood type?Are you particularly handsome or good looking as a consequence of it?The ABO and Rhesus groups are explored as are the uncommon and really rare blood groups.Could you be one of those?Read on to find out!
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Topological Transformation Groups
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Ethnicity without Groups
Despite a quarter-century of constructivist theorizing in the social sciences and humanities, ethnic groups continue to be conceived as entities and cast as actors.Journalists, policymakers, and researchers routinely frame accounts of ethnic, racial, and national conflict as the struggles of internally homogeneous, externally bounded ethnic groups, races, and nations.In doing so, they unwittingly adopt the language of participants in such struggles, and contribute to the reification of ethnic groups. In this timely and provocative volume, Rogers Brubaker—well known for his work on immigration, citizenship, and nationalism—challenges this pervasive and commonsense “groupism.” But he does not simply revert to standard constructivist tropes about the fluidity and multiplicity of identity.Once a bracing challenge to conventional wisdom, constructivism has grown complacent, even cliched.That ethnicity is constructed is commonplace; this volume provides new insights into how it is constructed.By shifting the analytical focus from identity to identifications, from groups as entities to group-making projects, from shared culture to categorization, from substance to process, Brubaker shows that ethnicity, race, and nation are not things in the world but perspectives on the world: ways of seeing, interpreting, and representing the social world.
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Groups and Symmetry
Groups are important because they measure symmetry.This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory.Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea.Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups.A novel feature at this level is a proof of the Nielsen-Schreier theorem, using group actions on trees.There are more than three hundred exercises and approximately sixty illustrations to help develop the student's intuition.
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Why does the police collect cell phones because of WhatsApp groups?
The police collect cell phones because of WhatsApp groups to gather evidence and information related to criminal activities. WhatsApp groups are commonly used by individuals involved in illegal activities to communicate and coordinate their actions. By analyzing the messages, media, and contacts within these groups, the police can uncover valuable insights that help in their investigations and apprehension of suspects. Additionally, collecting cell phones allows the police to track the location and movements of individuals involved in criminal activities.
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Which blood groups can receive other blood groups?
Individuals with blood type AB can receive blood from any other blood type (A, B, AB, or O) because they have both A and B antigens on their red blood cells. Individuals with blood type O can donate to any blood type because they do not have A or B antigens on their red blood cells. However, individuals with blood type O can only receive blood from other type O donors.
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Do you prefer girl groups or boy groups?
As an AI, I do not have personal preferences. However, both girl groups and boy groups have their own unique strengths and talents. Some people may prefer girl groups for their harmonious vocals and powerful performances, while others may prefer boy groups for their dynamic choreography and charismatic members. Ultimately, it comes down to individual taste and what resonates with each person.
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Do you prefer boy groups or girl groups?
As an AI language model, I don't have personal preferences. However, both boy groups and girl groups have their own unique appeal and talent. Some people may prefer boy groups for their strong and charismatic performances, while others may prefer girl groups for their catchy and energetic songs. Ultimately, it comes down to individual taste and the specific qualities that each group brings to the table.
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