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Fitting group of a direct product

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#abstract-algebra #group-theory #normal-subgroups #direct-product
67
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Finite cyclic groups are isomorphic to their product with $\Bbb Z$?

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#group-theory #cyclic-groups #direct-product
179
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If $G=H\times K$ then can we view $G/K$ as $H$?

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#group-theory #direct-product
76
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Finding a contradiction to $G$ being abelian when $G\cong M\times L$

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#group-theory #abelian-groups #direct-product
147
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Is the large Sigma notation (summation notation) used for coproducts?

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#reference-request #category-theory #notation #direct-sum #direct-product
150
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Is every vector space isomorphic to a direct product of one-dimensional vector spaces?

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#linear-algebra #vector-spaces #direct-product
183
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Greedy Algorithm for an Abelian Group

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#abstract-algebra #group-theory #algorithms #abelian-groups #direct-product
54
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Associating Projections with Vector Space (Infinite) Internal Direct Sum

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#vector-spaces #category-theory #direct-sum #direct-product
283
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Direct product and commutativity of factors

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#group-theory #normal-subgroups #direct-product
609
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$H$ and $K$ are two normal subgroups of group $G$, $H\cap K=\{1\}$, $G=HK$, how to prove $G$ is isomorphic to $H\times K$

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#group-theory #normal-subgroups #group-isomorphism #direct-product
1.4k
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Finite Direct product of solvable groups is solvable

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#group-theory #direct-product #solvable-groups
144
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Automorphism of direct product of rings

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#abstract-algebra #automorphism-group #direct-product
169
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Show that the group ordering in the direct product is doesn't matter to the group structure.

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#group-theory #direct-product
284
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Fundamental theorem of finite Abelian group

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#abstract-algebra #group-theory #finite-groups #abelian-groups #direct-product
1k
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Can a direct product $R\times X$ of two integral domains $R$ and $X$ ever be an integral domain?

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#abstract-algebra #integral-domain #direct-product

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