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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2010.10463 |
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| _version_ | 1866910024746401792 |
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| author | Bahri, Afsane Akhlaghi, Zeinab Khosravi, Behrooz |
| author_facet | Bahri, Afsane Akhlaghi, Zeinab Khosravi, Behrooz |
| contents | Let G be a finite group, Irr(G) the set of all irreducible complex characters of G and X \in Irr(G). Let also cod(X) = |G : kerX|/X(1) and cod(G) = {cod(X) | X \in Irr(G)}. In this note, we show that the simple group PSL(2, q), for a prime power q > 3, is uniquely determined by the set of its codegree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_10463 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Equivalent version of Huppert's conjecture on the codegrees Bahri, Afsane Akhlaghi, Zeinab Khosravi, Behrooz Group Theory Let G be a finite group, Irr(G) the set of all irreducible complex characters of G and X \in Irr(G). Let also cod(X) = |G : kerX|/X(1) and cod(G) = {cod(X) | X \in Irr(G)}. In this note, we show that the simple group PSL(2, q), for a prime power q > 3, is uniquely determined by the set of its codegree. |
| title | Equivalent version of Huppert's conjecture on the codegrees |
| topic | Group Theory |
| url | https://arxiv.org/abs/2010.10463 |