Question

Prove the group defined by the following relations has eight elements and is not isomorphic to $\Delta_4$

score 62 · Answer 1 · 2026-03-25 06:05:36

62

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Prove the group defined by the following relations has eight elements and is not isomorphic to $\Delta_4$

Published on 25 Mar 2026 - 6:05

score 748 · Answer 2 · 2026-03-25 06:00:13

748

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Constructing the $Z_2 \times Z_2$ group table

Published on 25 Mar 2026 - 6:00

score 233 · Answer 3 · 2026-04-11 16:46:25

233

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Fill in a partly filled in table such that it makes the magma $(M,*)$ associative, commutative, has an identity element and has no zero-elements.

Published on 11 Apr 2026 - 16:46

score 159 · Answer 4 · 2026-03-25 06:04:17

How to define a finite set S which is a non-abelian group under binary operation without commutativities except the trivial ones (see Cayley table)?

score 258 · Answer 5 · 2026-03-25 06:08:41

258

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Fill in Cayley table for a commutative ring with unity

Published on 25 Mar 2026 - 6:08

score 143 · Answer 6 · 2026-03-25 06:04:08

143

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Cayley table for the additive and mutiplicative operations in ($\Bbb F_7$, +, *)

Published on 25 Mar 2026 - 6:04

score 122 · Answer 7 · 2026-04-09 08:10:51

122

Views

An example of an algebraic loop which has different L and R inverses?

Published on 09 Apr 2026 - 8:10

score 653 · Answer 8 · 2026-03-25 06:00:25

653

Views

Multiplication/Cayley tables for the Dihedral Groups

Published on 25 Mar 2026 - 6:00

score 215 · Answer 9 · 2026-04-14 23:56:48

215

Views

Group problem with a diagram

Published on 14 Apr 2026 - 23:56

score 568 · Answer 10 · 2026-05-10 16:14:41

568

Views

Matrix Group under multiplication

Published on 10 May 2026 - 16:14

score 152 · Answer 11 · 2026-03-25 07:47:31

152

Views

How do we construct cayley tables for fields without using Lagrange's Theorem?

Published on 25 Mar 2026 - 7:47

score 124 · Answer 12 · 2026-03-25 06:07:02

124

Views

Is there bijection between Cayley tables and (finite) groups (if the order of rows and colums doesn't matter)?

Published on 25 Mar 2026 - 6:07

score 49 · Answer 13 · 2026-03-25 06:08:27

49

Views

Cayley tables and associativity

Published on 25 Mar 2026 - 6:08

score 713 · Answer 14 · 2026-03-25 06:05:20

713

Views

How to create multiplication table ("Cayley table") for an algebra or class of algebras?

Published on 25 Mar 2026 - 6:05

score 149 · Answer 15 · 2026-03-25 06:06:57

149

Views

Will this determinant of the matrix of determinants of the transformations of the group applied to a square matrix always be zero?

Published on 25 Mar 2026 - 6:06

List Question

Prove the group defined by the following relations has eight elements and is not isomorphic to $\Delta_4$

Constructing the $Z_2 \times Z_2$ group table

Fill in a partly filled in table such that it makes the magma $(M,*)$ associative, commutative, has an identity element and has no zero-elements.

How to define a finite set S which is a non-abelian group under binary operation without commutativities except the trivial ones (see Cayley table)?

Fill in Cayley table for a commutative ring with unity

Cayley table for the additive and mutiplicative operations in ($\Bbb F_7$, +, *)

An example of an algebraic loop which has different L and R inverses?

Multiplication/Cayley tables for the Dihedral Groups

Group problem with a diagram

Matrix Group under multiplication

How do we construct cayley tables for fields without using Lagrange's Theorem?

Is there bijection between Cayley tables and (finite) groups (if the order of rows and colums doesn't matter)?

Cayley tables and associativity

How to create multiplication table ("Cayley table") for an algebra or class of algebras?

Will this determinant of the matrix of determinants of the transformations of the group applied to a square matrix always be zero?

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