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Formal group law information


In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were introduced by S. Bochner (1946). The term formal group sometimes means the same as formal group law, and sometimes means one of several generalizations. Formal groups are intermediate between Lie groups (or algebraic groups) and Lie algebras. They are used in algebraic number theory and algebraic topology.

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Formal group law

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In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were introduced...

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Complex cobordism

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ring, making the formal group law of complex cobordism into the universal formal group law. In other words, for any formal group law F over any commutative...

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Moduli stack of formal group laws

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In algebraic geometry, the moduli stack of formal group laws is a stack classifying formal group laws and isomorphisms between them. It is denoted by M...

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Landweber exact functor theorem

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is known that a complex orientation of a homology theory leads to a formal group law. The Landweber exact functor theorem (or LEFT for short) can be seen...

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Quotient stack

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,b_{0}\in R^{\times }\}} , is called the moduli stack of formal group laws, denoted by M FG {\displaystyle {\mathcal {M}}_{\text{FG}}} . Homotopy...

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Elliptic cohomology

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is called elliptic if it is even periodic and its formal group law is isomorphic to a formal group law of an elliptic curve E {\displaystyle E} over R {\displaystyle...

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Corporate group

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A corporate group, company group or business group, also formally known as a group of companies, is a collection of parent and subsidiary corporations...

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Formal organization

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A formal organization is an organization with a fixed set of rules of intra-organization procedures and structures. As such, it is usually set out in writing...

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Daniel Quillen

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ISBN 978-3-540-03914-3. MR 0223432. Quillen, Daniel (1969). "On the formal group laws of unoriented and complex cobordism theory". Bulletin of the American...

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List of Lie groups topics

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Local Lie group Formal group law Hilbert's fifth problem Hilbert-Smith conjecture Lie group decompositions Real form (Lie theory) Complex Lie group Complexification...

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Formal fallacy

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In logic and philosophy, a formal fallacy, deductive fallacy, logical fallacy or non sequitur (/ˌnɒn ˈsɛkwɪtər/; Latin for 'it does not follow') is a pattern...

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Social control

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with social norms and orders. Through both informal and formal means, individuals and groups exercise social control both internally and externally. As...

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Glossary of algebraic topology

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ring together with the formal group law ƒ that is universal among all the formal group laws in the sense that any formal group law g over a commutative...

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De facto

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recognized by laws or other formal norms. It is commonly used to refer to what happens in practice, in contrast with de jure ("by law"). In jurisprudence...

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Basic Laws of Israel

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the codification of the Basic Laws into a formal constitutiton. The Israeli Declaration of Independence stated that a formal constitution would be formulated...

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Formal power series

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arithmetic functions Formal groups are used to define an abstract group law using formal power series Puiseux series are an extension of formal Laurent series...

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Group ring

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law on the basis. Less formally, a group ring is a generalization of a given group, by attaching to each element of the group a "weighting factor" from...

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Peter Landweber

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theorem, which allows the construction of a homology theory from a formal group law. In 1986 he introduced elliptic cohomology with Douglas C. Ravenel...

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Law

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described as a science and as the art of justice. State-enforced laws can be made by a group legislature or by a single legislator, resulting in statutes;...

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Sharia

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Both Islamic and Jewish law (Halakha) are derived from formal textual revelations (Quran and Pentateuch) as well as less formal, orally transmitted prophetic...

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Rule of law

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certainty. Other than that, the formal view contains no requirements as to the content of the law. This formal approach allows laws that protect democracy and...

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European Union law

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Court can be appealed to the Court of Justice on points of law. While there is no formal appeal procedure from the Court of Justice, in practice its...

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Workforce

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falls short of being a formal arrangement in law or in practice. Labour inherit may come as formal or non-formal, an employee old enough but below retirement...

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