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A_Physicist.
  • Member for 4 years, 7 months
  • Last seen more than a month ago
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awarded
 Yearling
asked
do all two manifolds admit a three-colorable triangulation?
awarded
 Scholar
comment
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
Thanks! This is exactly what I was looking for.
accepted
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
comment
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
I streamlined the question and checked another example.
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
added 225 characters in body
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
deleted 42 characters in body
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
edited body
comment
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
@DerekHolt Great point. I changed $H^2$'s to $Z^2$'s.
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
edited body
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
deleted 350 characters in body
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
added 11 characters in body
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
added 376 characters in body
comment
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
@StudySmarterNotHarder. Thanks. Better?
revised
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
added 150 characters in body
asked
Non-trivial example of $H^2(G,M)$ where $M$ is a non-trivial G-representation
comment
Find $a$ satisfying $x \cup_1 y = \delta a$ when $x,y \in Z^2(G,\mathbb{Z}_2)$
Good point! Thanks.
comment
Find $a$ satisfying $x \cup_1 y = \delta a$ when $x,y \in Z^2(G,\mathbb{Z}_2)$
@QiaochuYuan I added an explicit expression. You are right, the cup product of two 2-cocycles is a 4-cocycle. The $\cup_1$ product of two 2-cocycles is a 3-cochain.
revised
Find $a$ satisfying $x \cup_1 y = \delta a$ when $x,y \in Z^2(G,\mathbb{Z}_2)$
added 137 characters in body
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