List questions from group-presentation

490

Views

Show, using presentations, that $\Bbb Z_m\times\Bbb Z_n\cong\Bbb Z_{{\rm lcm}(m,n)}\times \Bbb Z_{\gcd(m,n)} .$

Published on 26 Mar 2026 - 9:26

137

Views

Show that $G = \langle a,b \mid a^2b = ba^3\rangle$ is nonabelian.

Published on 26 Mar 2026 - 9:19

85

Views

Identify the presentation of groups

Published on 26 Mar 2026 - 12:05

74

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Compute the automorphism group of $D_{10}$

Published on 10 Aug 2023 - 9:14

79

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Motivation for presentation of group $G$ in Hungerford’s Abstract Algebra

Published on 25 Mar 2026 - 16:14

49

Views

Reference on group-presentations

Published on 26 Mar 2026 - 12:04

241

Views

Prove that $S_4$ is isomorphic to a presentation

Published on 26 Mar 2026 - 12:06

180

Views

Is this a valid group structure (of order 12)?

Published on 26 Mar 2026 - 10:46

70

Views

Word problem for groups and the universal cover

Published on 03 Oct 2023 - 10:51

34

Views

Presentation of direct sum

Published on 05 Oct 2023 - 22:59

73

Views

What are some presentations of $SL(2,q)$?

Published on 26 Mar 2026 - 12:06

129

Views

Another cell complex structure of closed orientable genus $g$ surface?

Published on 13 Oct 2023 - 4:18

118

Views

Is the isomorphism problem solvable for Euclidean groups?

Published on 26 Mar 2026 - 12:04

53

Views

Writing the product of cycles as disjoint cycles, but yielding to different result when applying it.

Published on 15 Oct 2023 - 20:42

108

Views

Number of groups with a bounded short presentation

Published on 25 Mar 2026 - 11:11

List Question

Show, using presentations, that $\Bbb Z_m\times\Bbb Z_n\cong\Bbb Z_{{\rm lcm}(m,n)}\times \Bbb Z_{\gcd(m,n)} .$

Show that $G = \langle a,b \mid a^2b = ba^3\rangle$ is nonabelian.

Identify the presentation of groups

Compute the automorphism group of $D_{10}$

Motivation for presentation of group $G$ in Hungerford’s Abstract Algebra

Reference on group-presentations

Prove that $S_4$ is isomorphic to a presentation

Is this a valid group structure (of order 12)?

Word problem for groups and the universal cover

Presentation of direct sum

What are some presentations of $SL(2,q)$?

Another cell complex structure of closed orientable genus $g$ surface?

Is the isomorphism problem solvable for Euclidean groups?

Writing the product of cycles as disjoint cycles, but yielding to different result when applying it.

Number of groups with a bounded short presentation

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