List questions from free-groups

Published on 28 Dec 2014 - 2:06

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Free abelian group, matrix representation.

Published on 28 Dec 2014 - 21:03

85

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Does a finite product of commutators of the form $[a,b]$ lie in $A∩B$?

Published on 29 Dec 2014 - 22:27

792

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subgroup is saturated iff it is a direct summand

Published on 02 Jan 2015 - 10:41

440

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Surjection $\pi_1 (S^3 - 4_1) \to D_n$

Published on 10 Oct 2019 - 10:16

76

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At most one homomorphism between two groups

Published on 11 Oct 2019 - 8:17

68

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Quotient of free groups $\langle a_1,\ldots, a_n\rangle /\langle a_2-a_1,a_3-a_2,\ldots,a_{n}-a_{n-1},a_1-a_n\rangle$

Published on 28 Feb 2026 - 3:01

37

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Suppose $F$ is a finitely generated free group, with $M,N \trianglelefteq F$ such that $M \leq N$. If $F/N \cong F/M$ then need we have $N=M$?

Published on 12 Oct 2019 - 17:46

67

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Does $\mathbb Z/p\mathbb Z$ a free abelian pro-p group?

Published on 16 Mar 2026 - 14:07

79

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Why Theorem 71.1 in 《Topology》 of Munkres using points different from the common point

Published on 25 Oct 2019 - 11:26

59

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How to quotient the free group by a set of elements?

Published on 25 Mar 2026 - 17:40

44

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Why or why not extend CFG's from a monoid concatenation to a free group concatenation?

Published on 25 Mar 2026 - 19:05

320

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Finitely Generated Abelian Groups

Published on 01 Nov 2019 - 22:26

158

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Question about $\operatorname{Aut}(D_\infty)\cong D_\infty$

Published on 04 Nov 2019 - 13:29

110

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Finding the quotient of this free abelian group

Published on 06 Nov 2019 - 15:55

List Question

Co-rank of a group with $a^2b^2c^2=1$

Free abelian group, matrix representation.

Does a finite product of commutators of the form $[a,b]$ lie in $A∩B$?

subgroup is saturated iff it is a direct summand

Surjection $\pi_1 (S^3 - 4_1) \to D_n$

At most one homomorphism between two groups

Quotient of free groups $\langle a_1,\ldots, a_n\rangle /\langle a_2-a_1,a_3-a_2,\ldots,a_{n}-a_{n-1},a_1-a_n\rangle$

Suppose $F$ is a finitely generated free group, with $M,N \trianglelefteq F$ such that $M \leq N$. If $F/N \cong F/M$ then need we have $N=M$?

Does $\mathbb Z/p\mathbb Z$ a free abelian pro-p group?

Why Theorem 71.1 in 《Topology》 of Munkres using points different from the common point

How to quotient the free group by a set of elements?

Why or why not extend CFG's from a monoid concatenation to a free group concatenation?

Finitely Generated Abelian Groups

Question about $\operatorname{Aut}(D_\infty)\cong D_\infty$

Finding the quotient of this free abelian group

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