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The number of conjugacy classes of a finite group

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#abstract-algebra #group-theory #finite-groups
312
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galois group of irreducible monic cubic polynomial

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#group-theory #galois-theory #irreducible-polynomials #discriminant
50
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Confusing step in proof of property of cyclic group automorphisms

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#group-theory #cyclic-groups #automorphism-group
195
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Properties of symmetric and alternating characters

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#abstract-algebra #group-theory #finite-groups #representation-theory #characters
757
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The product of disjoint cycles

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#group-theory #permutations #terminology
285
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Representation theory of $S_3$

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#abstract-algebra #group-theory #representation-theory
402
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Showing a group G acts on itself by right multiplication

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#group-theory #group-actions
35
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Question regarding definition of isomorphism

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#abstract-algebra #group-theory
139
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Finite group, How can I construct solution step-by-step.

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#abstract-algebra #group-theory #finite-groups
2.9k
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An isomorphism $f:G_1 \to G_2$ maps the identity of $G_1$ to the identity of $G_2$

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#abstract-algebra #group-theory #alternative-proof
423
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Prime index of normal subgroup

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#group-theory
182
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A question on Group of homeomorphism of $[0,1]$.

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#real-analysis #general-topology #group-theory #topological-groups
205
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In the category of abelian groups the coequalizer $\text{Coker}(f, 0)$, $f: A \to B$ is simply $B/f(A)$.

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#abstract-algebra #group-theory #category-theory #abelian-groups
1.2k
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$SU(2)$ adjoint and fundamental transformations

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#group-theory #representation-theory #lie-groups #lie-algebras
502
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Commutator subgroup and simple groups

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#group-theory #abelian-groups

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