Groups having unique faithful irreducible Q-representation
In this paper, we give few sufficient conditions for finite p-group to have unique NEW (i.e faithful irreducible) Q-representation. As a consequence of these conditions we will prove that any finite p-group of nilpotency class 2 has atmost one NEW Q-representation. We also give examples of few class...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2024-12-01
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| Series: | Ratio Mathematica |
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| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1634 |
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| _version_ | 1832575488620494848 |
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| author | Vikas Jadhav |
| author_facet | Vikas Jadhav |
| author_sort | Vikas Jadhav |
| collection | DOAJ |
| description | In this paper, we give few sufficient conditions for finite p-group to have unique NEW (i.e faithful irreducible) Q-representation. As a consequence of these conditions we will prove that any finite p-group of nilpotency class 2 has atmost one NEW Q-representation. We also give examples of few classes of finite p-groups which has unique NEW Q-representation. |
| format | Article |
| id | doaj-art-ed3cb6ff9213441c8f7e09a0d8023514 |
| institution | Kabale University |
| issn | 1592-7415 2282-8214 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj-art-ed3cb6ff9213441c8f7e09a0d80235142025-02-01T06:51:01ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142024-12-0153010.23755/rm.v53i0.1634942Groups having unique faithful irreducible Q-representationVikas JadhavIn this paper, we give few sufficient conditions for finite p-group to have unique NEW (i.e faithful irreducible) Q-representation. As a consequence of these conditions we will prove that any finite p-group of nilpotency class 2 has atmost one NEW Q-representation. We also give examples of few classes of finite p-groups which has unique NEW Q-representation.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1634idempotentsfaithful representation |
| spellingShingle | Vikas Jadhav Groups having unique faithful irreducible Q-representation Ratio Mathematica idempotents faithful representation |
| title | Groups having unique faithful irreducible Q-representation |
| title_full | Groups having unique faithful irreducible Q-representation |
| title_fullStr | Groups having unique faithful irreducible Q-representation |
| title_full_unstemmed | Groups having unique faithful irreducible Q-representation |
| title_short | Groups having unique faithful irreducible Q-representation |
| title_sort | groups having unique faithful irreducible q representation |
| topic | idempotents faithful representation |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1634 |
| work_keys_str_mv | AT vikasjadhav groupshavinguniquefaithfulirreducibleqrepresentation |