List questions from finite-groups

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How many Sylow-$ 3$ subgroup does $G$ have?

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Every finite group has a composition series

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Are there finite-dimentional unital associative algebras over $\Bbb{C}$ that are not isomorphic to a group algebra $\Bbb{C}[G]$ for finite group G?

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Derivation and application of Newton's identity

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Some basic terms from finite group theory, normalising and centralising

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Let $H \le G$, when does there exists normal complements.

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Part of Proof which implies normal complement

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If $G'\leq Z(G)$ implies $G'=Z(G)$?

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Question on Proof involving direct products and $\pi$-complements

Published on 16 Jun 2014 - 11:16

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Conclusion about conjugacy classes of $\pi$-complements

Published on 16 Jun 2014 - 11:37

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Largest symmetric group contained in alternating group

Published on 16 Jun 2014 - 14:09

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Normalised subgroup and $O_{2'}(G)$ and $O^{2'}(G)$.

Published on 16 Jun 2014 - 14:51

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An elementary problem related to $Z(G)$

Published on 16 Jun 2014 - 20:15

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The largest normal subgroup of odd order in the centraliser

Published on 16 Jun 2014 - 22:54

List Question

Relation between complements, $p$-complements and $\pi$-complements

How many Sylow-$ 3$ subgroup does $G$ have?

Every finite group has a composition series

Are there finite-dimentional unital associative algebras over $\Bbb{C}$ that are not isomorphic to a group algebra $\Bbb{C}[G]$ for finite group G?

Derivation and application of Newton's identity

Some basic terms from finite group theory, normalising and centralising

Let $H \le G$, when does there exists normal complements.

Part of Proof which implies normal complement

If $G'\leq Z(G)$ implies $G'=Z(G)$?

Question on Proof involving direct products and $\pi$-complements

Conclusion about conjugacy classes of $\pi$-complements

Largest symmetric group contained in alternating group

Normalised subgroup and $O_{2'}(G)$ and $O^{2'}(G)$.

An elementary problem related to $Z(G)$

The largest normal subgroup of odd order in the centraliser

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