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Questions Tagged with "finite groups" (Page 2)

Explore solved questions tagged with "finite groups" or help others by answering their unsolved questions related to "finite groups".

Let $G$ be a finite nilpotent group and $G'$ its commutator subgroup. Show that if $G/G'$ is cyclic then $G$ is cyclic.

3 answer

Mathematics Asked 2 years ago

Each permutation in permutation group PSL2 consist of fixed points and cycles of equal lengths. Prove or disprove it.

1 answer

Mathematics Asked 2 years ago by Slepecky Mamut

The action of a subgroup of the torsion group of elliptic curves on integral points?

1 answer

MathOverflow Asked 3 years ago by user6671

Does the center of a perfect group not contain all elements of prime order?

3 answer

Mathematics Asked 3 years ago

Abelian subgroup of prime power index

1 answer

Mathematics Asked 3 years ago by Devendra Singh Rana

Sylow's second theorem explanation

1 answer

Mathematics Asked 3 years ago by Pritam

Are these two kernels isomorphic groups?

0 answer

MathOverflow Asked 3 years ago by Francesco Polizzi

Understanding the hint of a question to show that $G$ is Abelian.

0 answer

Mathematics Asked 3 years ago

Top and bottom composition factors of $M$ are isomorphic

1 answer

MathOverflow Asked 3 years ago by user666

Showing that a group $G$ such that 3 does not divide $|G|$ is Abelian.

1 answer

Mathematics Asked 3 years ago by user778657

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