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Understanding Remak-Krull-Schmidt

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#group-theory #finite-groups
293
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Commutator of the semidirect product

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#abstract-algebra #group-theory #finite-groups #normal-subgroups #automorphism-group
43
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On the Sylow 2-subgroup of a finite group

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#finite-groups #cyclic-groups #sylow-theory
70
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Understanding the definition of "Frattini-free group"

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#group-theory #finite-groups #definition
489
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How to compute commutator subgroup efficiently?

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#group-theory #finite-groups #computational-complexity
84
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Group of order $4$ such that $x^2=1$ for all $x$?

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#abstract-algebra #group-theory #finite-groups #abelian-groups
1.4k
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Questions about cyclic groups (Paar-Pelzl).

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#abstract-algebra #group-theory #finite-groups
119
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Necessary and sufficient condition for a subgroup to be factor

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#group-theory #finite-groups
141
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What groups have the property: All nontrivial isomorphic subgroups have a nontrivial intersection?

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#abstract-algebra #group-theory #finite-groups
520
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Does the integers modulo $n$ with the addition modulo $n$ form a commutative group of size $n$?

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#group-theory #finite-groups #modular-arithmetic
85
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Is it possible to extend group isomorphism?

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#group-theory #finite-groups
274
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Is the character group of a finite group its "dual"?

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#group-theory #finite-groups #duality-theorems
28
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Listing the all the cosets efficiently

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#group-theory #soft-question #finite-groups
234
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$G$ is a group of order $pq$ and $P_q$ and $P_p$ are Sylow subgroups...

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#group-theory #finite-groups #normal-subgroups #sylow-theory #maximal-subgroup
535
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Does there exist a finite group whose automorphism group is simple?

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#finite-groups #automorphism-group

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