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    D5 2

    Uploaded by

    Rhona Labordo

    Copyright:

    © All Rights Reserved
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    D5 2

    Uploaded by

    Rhona Labordo
    2 views5 pages

    Original Title

    D5-2

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    © © All Rights Reserved

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    Copyright:

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    Download as docx, pdf, or txt
    2 views5 pages

    D5 2

    Uploaded by

    Rhona Labordo

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 5

    .

    ρ0 ρ72 ρ144 ρ216 ρ288 μ1 μ2 μ3


    ρ0 ρ0 ρ72 ρ144 ρ216 ρ288 μ1 μ2 μ3
    ρ72 ρ72 ρ144 ρ432 ρ288 ρ0 μ3 μ4 μ5
    ρ144 ρ144 ρ216 ρ288 ρ0 ρ72 μ5 μ1 μ2
    ρ216 ρ216 ρ288 ρ0 ρ72 Ρ144 μ2 μ3 μ4
    ρ288 ρ288 ρ0 ρ72 Ρ144 ρ216 μ4 μ5 μ1
    μ1 μ1 μ4 μ2 μ5 μ3 ρ0 ρ144 ρ288
    μ2 μ2 μ5 μ3 μ1 μ4 ρ216 ρ0 ρ144
    μ3 μ3 μ1 μ4 μ2 μ5 ρ72 ρ216 ρ0
    μ4 μ4 μ2 μ5 μ3 μ1 ρ288 ρ72 ρ216
    μ5 μ5 μ3 μ1 μ4 μ2 Ρ144 ρ540 ρ72
    . (1) (15432) (14253) (13524) (12345) (25)(34) (13)(45) (15)(24) (1

    (1) (1) (15432) (14253) (13524) (12345) (25)(34) (13)(45) (15)(24) (1

    (15432) (15432) (14253) (13524) (12345) (1) (15)(24) (12)(35) (14)(23) (2

    (14253) (14253) (13524) (12345) (1) (15432) (14)(23) (25)(34) (13)(45) (1

    (13524) (13524) (12345) (1) (15432) (14253) (13)(45) (15)(24) (12)(35) (1

    (12345) (12345) (1) (15432) (14253) (13524) (12)(35) (14)(23) (25)(34) (1

    (25)(34) (25)(34) (12)(35) (13)(45) (14)(23) (15)(24) (1) (14253) (12345) (

    (13)(45) (13)(45) (14)(23) (15)(24) (25)(34) (12)(35) (13524) (1) (14253) (

    (15)(24) (15)(24) (25)(34) (12)(35) (13)(45) (14)(23) (15432) (13524) (1) (

    (12)(35) (12)(35) (13)(45) (14)(23) (15)(24) (25)(34) (12345) (15432) (13524)

    (14)(23) (14)(23) (15)(24) (25)(34) (12)(35) (13)(45) (14253) (12345) (15432) (


    G0: <D5 , ·5> is closed.
    G1: <D5 , ·5> is associative.
    G2: ρ0 is the identity element of
    <D5 , ·5> .
    G3: <D5 , ·5> inverses are :
    ρ0 & ρ0 μ1 & μ 1
    ρ108 & ρ540 μ2 & μ 2
    ρ216 & ρ432 μ3 & μ 3
    μ4 & μ 4 μ5 & μ 5

    ‫؞‬ <D5 , ·5> is a group.

    ‫؞‬ <D5 , ·5> is an Abelian group.


    3 1

    2 4 5 2

    1 5 4 3

    5 2

    4 1 1 3

    3 2 5 4

    3 5

    2 1
    1 5

    2 5 1 4

    3 4 2 3

    4 3

    5 3 4 2

    1 2 5 1
    2

    3 1

    4 5

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