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Defining a cocycle

Hello everyone,

I would like to define an arbitrary group cocycle. That is, I want to define a function f:A×AT, where A is my group and T is the unit circle, such that f satisfies the following rule:

f(a,b)f(ab,c)=f(b,c)f(a,bc)a,b,cA.

Any help will be appreciated it.

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FrédéricC gravatar image

Defining a cocycle

Hello everyone,

I would like to define an arbitrary group cocycle. That is, I want to define a function f:A×AT, where A is my group and T is the unit circle, such that f satisfies the following rule:

f(a,b)f(ab,c)=f(b,c)f(a,bc)a,b,cA.

Any help will be appreciated it.

click to hide/show revision 3
retagged

updated 0 years ago

FrédéricC gravatar image

Defining a cocycle

Hello everyone,

I would like to define an arbitrary group cocycle. That is, I want to define a function f:A×AT, where A is my group and T is the unit circle, such that f satisfies the following rule:

f(a,b)f(ab,c)=f(b,c)f(a,bc)a,b,cA.

Any help will be appreciated it.