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Is this definition of group isomorphism correct?

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#group-theory #definition
378
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Information on semilinear groups.

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#group-theory #finite-groups #modules #representation-theory #characters
257
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$f(x) = x^6, g(x) = x^{10}$ endomorphisms $\implies G$ is abelian

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#abstract-algebra #group-theory #abelian-groups
78
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Showing two different definitions of a primitive root are the same

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#group-theory #number-theory #elementary-number-theory #primitive-roots
78
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Is being a contranormally closed subgroup a transitive property?

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#group-theory #normal-subgroups
3k
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Property of group of order $231$

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#group-theory
484
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Difference between Homomorphism and Isomorphism for prove of Group properties

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#group-theory #group-homomorphism
446
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Number of distinct dodecahedra given a multiset of edge colors. Burnside's lemma.

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#combinatorics #group-theory #permutations
60
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Basic algebra exercise

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#group-theory #equivalence-relations
97
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Simple question: does it suffice to compare the element orders of 2 groups to conclude they're not isomorphic

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#abstract-algebra #group-theory
685
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How is Cayley's theorem useful?

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#abstract-algebra #group-theory
4.4k
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Why are $-1$ and $1$ generators for the Set of integers under addition?

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#abstract-algebra #group-theory #cyclic-groups
143
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Every group is solvable, fake proof.

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#group-theory #finite-groups #fake-proofs
413
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Bass-Serre tree of Isom($\mathbb{Z}$)

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#group-theory #graph-theory #free-groups
6.2k
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What is the definition of a free abelian group generated by the set $X$?

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#abstract-algebra #group-theory #definition #abelian-groups #free-abelian-group

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