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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2603.17515 |
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| _version_ | 1866917351443660800 |
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| author | Öğüt, İsmail Alperen |
| author_facet | Öğüt, İsmail Alperen |
| contents | Motivated by the simplification of decomposition formulas for fibred bisets, we study the homomorphism extension problem for subdirect products of finite groups when the codomain is an abelian group satisfying certain hypothesis. We prove that every homomorphism of subdirect products whose Goursat quotients have trivial Schur multipliers is extensible. We also examine the case where subdirect products contain a twisted diagonal subgroup and investigate the functoriality of the extensibility property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17515 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homomorphism extension problem for subdirect products of finite groups Öğüt, İsmail Alperen Group Theory Representation Theory 05C20, 05C70 Motivated by the simplification of decomposition formulas for fibred bisets, we study the homomorphism extension problem for subdirect products of finite groups when the codomain is an abelian group satisfying certain hypothesis. We prove that every homomorphism of subdirect products whose Goursat quotients have trivial Schur multipliers is extensible. We also examine the case where subdirect products contain a twisted diagonal subgroup and investigate the functoriality of the extensibility property. |
| title | Homomorphism extension problem for subdirect products of finite groups |
| topic | Group Theory Representation Theory 05C20, 05C70 |
| url | https://arxiv.org/abs/2603.17515 |