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15
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A group of order 189 is not simple

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#group-theory #sylow-theory #simple-groups
945
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classify groups of order $p^2$ simple or not

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#abstract-algebra #group-theory #finite-groups #sylow-theory
939
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Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

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#abstract-algebra #group-theory #proof-verification #symmetric-groups #sylow-theory
311
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Calculating the index of a subgroup containing the normalizer of a Sylow $p$ subgroup

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#group-theory #sylow-theory
340
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If $|G| = p^nq$ then $G$ has only one normal subgroup of order $q$

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#abstract-algebra #group-theory #sylow-theory
6k
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Classify all groups of order 75

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#group-theory #sylow-theory
644
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Group of order 616 solvable?

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#abstract-algebra #group-theory #finite-groups #sylow-theory #solvable-groups
437
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Could we get any information from about class equation from index of sylow subgroups

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#group-theory #sylow-theory
561
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Second part of Sylow's Theorem about conjugacy

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#abstract-algebra #group-theory #sylow-theory
549
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If $G$ is non-abelian and simple then $|G|$ divides $n_p!/2$

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#group-theory #sylow-theory #simple-groups
74
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On a special type of finite abelian groups of prime power order

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#finite-groups #modules #abelian-groups #cyclic-groups #sylow-theory
2.4k
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Group of order $60$ with more than one Sylow-$5$ subgroup is simple

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#group-theory #sylow-theory
470
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Prove that there is at most one non-abelian group of order $28$ all of whose Sylow $2$-subgroups are cyclic

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#abstract-algebra #group-theory #finite-groups #sylow-theory
102
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Understanding connection between number of non isomorphic Abelian groups and Sylow theorem

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#group-theory #discrete-mathematics #sylow-theory
38
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Does a transversal of a Sylow-2 subgroup provide an involution cover?

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#group-theory #finite-groups #sylow-theory

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