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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.14517 |
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| _version_ | 1866909270130294784 |
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| author | Robinson, Geoffrey R. |
| author_facet | Robinson, Geoffrey R. |
| contents | In this note, we give a group-theoretic condition which is equivalent to the fact that the trivial character is the only complex irreducible character of a finite group G which is contained in the principal p-block for each prime p in a specified set of prime divisors of the order of G. This character-theoretic condition has been studied previously by a number of authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14517 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A group-theoretic condition equivalent to a condition on principal blocks Robinson, Geoffrey R. Group Theory Representation Theory 20C20 In this note, we give a group-theoretic condition which is equivalent to the fact that the trivial character is the only complex irreducible character of a finite group G which is contained in the principal p-block for each prime p in a specified set of prime divisors of the order of G. This character-theoretic condition has been studied previously by a number of authors. |
| title | A group-theoretic condition equivalent to a condition on principal blocks |
| topic | Group Theory Representation Theory 20C20 |
| url | https://arxiv.org/abs/2407.14517 |