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15
154
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A question about the classification of compact Lie groups

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#lie-groups #compactness #simple-groups
74
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Group mod center is perfect structure result

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#group-theory #finite-groups #exact-sequence #simple-groups
65
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Are complex reflection groups never perfect?

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#group-theory #finite-groups #simple-groups #coxeter-groups #reflection-group
56
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Simplicity of a subgroup of $S_p$

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#group-theory #finite-groups #simple-groups
346
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Let $G$ be a simple group. Show that any homomorphism from $ G$ to $G'$ (arbitrary $G'$) must be either injective or the trivial homomorphism.

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#abstract-algebra #group-theory #group-homomorphism #simple-groups
372
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Why do we trust the Classification of Finite Simple Groups?

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#group-theory #soft-question #finite-groups #simple-groups
199
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Why is studying centralizers the/a key to classifying finite groups?

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#group-theory #finite-groups #simple-groups #big-picture
257
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Is every finite non-abelian simple group generated by involutions?

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#group-theory #finite-groups #simple-groups
132
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What is the relation of word "simple" with math-word "simple group" of group theory?

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#abstract-algebra #group-theory #terminology #simple-groups
22
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Image of minimal degree representation of quasisimple group unique up to conjugacy.

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#finite-groups #representation-theory #lie-groups #simple-groups
119
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On Subgroups of Same order of Simple group

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#abstract-algebra #group-theory #simple-groups
63
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Equivalent of simple groups in topology

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#general-topology #group-theory #algebraic-topology #finite-groups #simple-groups
332
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Show that a finite simple group $G$ of even order must have order divisible by $4$.

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#abstract-algebra #group-theory #finite-groups #simple-groups
312
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No simple group of order 1040

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#group-theory #finite-groups #simple-groups
77
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Nontrivial extension of cyclic group by simple group

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#group-theory #finite-groups #automorphism-group #simple-groups #group-extensions

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