About Artincokernel of The Group (Q2l 2×C7) Where l≠2l is prime number

In this research,westudied cyclic decomposition of the abelian factor group: AC(Q2l 2 C7) = R ( Q2l 2 C7 ) / T( Q2l 2 C7 ) when l2l is prime number.The group(Q2l 2 C7) is the direct product group of the quaternion group Q2l 2 ,which has an order of4l 2 ,and the cyclic group C7which has an order of7.As a result ,the order of thegroup(Q2l 2 C7) is given by | Q2l 2 C7 | = 28l 2 .Thus,cyclic decomposition of AC(Q2l 2 C7) is:

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Publication Details

Journal
Journal of research in applied mathematics.
Published
2025-04-01
DOI
https://doi.org/10.35629/0743-11040617
Primary Topic
Nanomaterials for catalytic reactions
Type
article
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article

About Artincokernel of The Group (Q2l 2×C7) Where l≠2l is prime number

Salah Hassoun Jihadi
Journal of research in applied mathematics.
Nanomaterials for catalytic reactions
article

About Artincokernel of The Group (Q2l 2×C7) Where l≠2l is prime number

Salah Hassoun Jihadi
article en

Abstract

In this research,westudied cyclic decomposition of the abelian factor group: AC(Q2l 2 C7) = R ( Q2l 2 C7 ) / T( Q2l 2 C7 ) when l2l is prime number.The group(Q2l 2 C7) is the direct product group of the quaternion group Q2l 2 ,which has an order of4l 2 ,and the cyclic group C7which has an order of7.As a result ,the order of thegroup(Q2l 2 C7) is given by | Q2l 2 C7 | = 28l 2 .Thus,cyclic decomposition of AC(Q2l 2 C7) is:

Journal of research in applied mathematics.Vol. 11(4)
Openalex Percentile: Top 93%
Nanomaterials for catalytic reactions
DOIOpen Access PDFOpenAlex
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About Artincokernel of The Group (Q2l 2×C7) Where l≠2l is prime number — Salah Hassoun Jihadi · Journal of research in applied mathematics. (2025) | TGRS Research Map | TGRS