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Normal subgroup in $G=G_1 \rtimes G_2$

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#group-theory #exact-sequence
80
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Mayer Vietoris - arbitrary homology

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#exact-sequence
1.8k
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Short exact sequence and cohomology group

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#algebraic-topology #exact-sequence #group-cohomology #spectral-sequences
82
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Group homomorphism for cohomology group

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#group-theory #algebraic-topology #exact-sequence #spectral-sequences
90
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Cover and extension of a Lie group

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#algebraic-topology #lie-groups #exact-sequence #spectral-sequences #k-theory
125
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Are there any non-trivial group extensions of $SU(N)$?

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#algebraic-topology #homotopy-theory #exact-sequence #characteristic-classes #group-extensions
982
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Direct sum seen as functor.

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#exact-sequence #abelian-categories #direct-sum
89
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Finite cover, homotopy group $\pi_1$ and group extension

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#general-topology #algebraic-topology #lie-groups #homotopy-theory #exact-sequence
30
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Examples of $G/N=Q$ where $G$ and $Q$ are fixed, but $N$ have different choices.

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#group-theory #algebraic-topology #exact-sequence #k-theory
653
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Example of disconnected Lie groups with finite extensions

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#algebraic-topology #lie-groups #topological-groups #exact-sequence #group-extensions
619
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Prove $\beta$ is surjective using commutative group diagram

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#abstract-algebra #group-theory #exact-sequence
1.8k
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Ext functor and left exact sequence?

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#homology-cohomology #homological-algebra #exact-sequence #derived-functors #functors
131
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Snake Lemma on a Square

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#abstract-algebra #modules #exact-sequence
288
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finite presentation for finitely generated module $M$ over a PID $R$

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#abstract-algebra #ring-theory #modules #exact-sequence
142
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The short exact sequence $0 \rightarrow Rx \rightarrow M \rightarrow M/Rx \rightarrow 0$ splits, so $M \cong Rx \oplus M/Rx$.

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#abstract-algebra #ring-theory #modules #exact-sequence

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