===One-dimensional formal group law=== Let R be a commutative unital ring. A one-dimensional formal group ... ...
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===One-dimensional formal group law=== Let R be a commutative unital ring. A one-dimensional formal group ... ...
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===One-dimensional additive formal group law=== ring. The one-dimensional additive formal group law over R is the defining ... ...
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===One-dimensional multiplicative formal group law=== The one-dimensional multiplicative formal group law over R is the formal ... ...
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Suppose F is a n-dimensional defining ingredient::formal group law over a commutative unital ring R. The Lie algebra of F is defined as the following ... ...
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Suppose F and G are defining ingredient::formal group laws of dimensions ... * Isomorphism of formal group laws is a homomorphism of formal group ... ...
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The dimension of a defining ingredient::formal group law is the number of coordinates used for each variable in the description of the law. It ... ...
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#redirect Nottingham group ... ...
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Suppose F_1 and F_2 are defining ingredient::formal group laws over R of dimensions d_1 and d_2 respectively. The external direct product of F_1 and ... ...
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Suppose G is an algebraic group over a field k. The formal group law ... * The formal group law of an algebraic group is the same as the formal ... ...
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===One-dimensional additive formal group law=== ring. The one-dimensional additive formal group law over R is the defining ... ...
928 bytes (158 words) - 22:11, 10 December 2010
===One-dimensional multiplicative formal group law=== The one-dimensional multiplicative formal group law over R is the formal ... ...
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Suppose G is an algebraic group over a field k. The formal group law ... * The formal group law of an algebraic group is the same as the formal ... ...
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===Via the intermediary of a formal group law=== two-step process: we first take the formal group law of the algebraic group ... ...
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Suppose F and G are defining ingredient::formal group laws of dimensions ... * Isomorphism of formal group laws is a homomorphism of formal group ... ...
977 bytes (165 words) - 21:26, 10 December 2010
The dimension of a defining ingredient::formal group law is the number of coordinates used for each variable in the description of the law. It ... ...
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===One-dimensional formal group law=== Let R be a commutative unital ring. A one-dimensional formal group ... ...
3 KB (599 words) - 22:33, 10 December 2010
===One-dimensional formal group law=== Let R be a commutative unital ring. A one-dimensional formal group ... ...
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This group is variously called the Johnson group, Nottingham group ... Let K be a field. As a set, the Nottingham group over K is the set ... ...
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by function here is meant a function from a group to itself). The function ... ==Related formal expressions==
* Function restriction expression ... ...
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title = The group of formal power series under substitution| ... title = The group of formal power series under substitution| ... ...
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Let G be a group and \rho:G \to GL(V) be a finite-dimensional linear ... For a finite group, the Molien series corresponding to any finite ... ...
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A subgroup H in a group G is said to have q if and only if whenever ... If a subgroup property can be expressed by a function restriction ... ...
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aimed at a general populace with no formal mathematical training. This ... article understanding the definition of a group. These are also the issues ... ...
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Suppose F_1 and F_2 are defining ingredient::formal group laws over R of dimensions d_1 and d_2 respectively. The external direct product of F_1 and ... ...
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x + y + xy (this is the multiplicative formal group law, but unlike other ... elements viewed as elements of the adjoint group, we denote the adjoint group ... ...
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x + y + xy (this is the multiplicative formal group law, but unlike other ... elements viewed as elements of the adjoint group, we denote the adjoint group ... ...
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Let (M,+,0) be an Abelian monoid. The Grothendieck group of M is an ... The group operations are as follows:
# (a - b) + (c - d) := (a + c ... ...
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The dimension of an algebraic group over a field is defined in the ... | 2 || formal group law || the dimension of the formal group law associated ... ...
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This group may be referenced by any of the names truncated Nottingham ... The truncated Nottingham group with parameter n over a field K is ... ...
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