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Let G be a simple group of order 168. Why is G isomorphic to a subgroup of S-8? And why aren't there any elements of orders 14 or 21 in G?

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  • Let G be a simple group of order 168. Why is G isomorphic to a subgroup of S-8? And why aren't there any elements of orders 14 or 21 in G?


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Let G be a simple group of order 168. Why is G isomorphic to a subgroup of S-8? And why aren't there any ... aren't there any elements of orders 14 or 21 ...
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Positive: 31 %
Prove that there are no simple groups of order 224. Let $G ... Hence, $G$ is not a simple group ... But elements of such a subgroup can have orders ...
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Positive: 28 %

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In a finite group G, the order of any ... since no element of Z/14Z Z/12Z has order 168. Thus there is an ... Let G be a group which has a subgroup ...
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Positive: 31 %
A subset H of the group G is a subgroup of G if and only if it is ... All articles needing additional references","Group theory","Subgroup ...
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Positive: 26 %
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Positive: 12 %
The metaplectic representation, Weyl operators and spectral theory. ... Let X be the Grassmannian of Lagrangian subspaces of R 2n and ...
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Positive: 10 %

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