Article
| Title: | Non-injective inductions and restrictions of modules over finite groups (English) |
| Author: | Li, Conghui |
| Author: | Tian, Yuting |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 3 |
| Year: | 2025 |
| Pages: | 933-942 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We extend the inductions and restrictions of modules over finite groups to non-injective group homomorphisms, establishing transitivity, Frobenius reciprocity, Mackey's formula, etc. (English) |
| Keyword: | non-injective homomorphism |
| Keyword: | induction and restriction |
| Keyword: | Frobenius reciprocity |
| Keyword: | Mackey's formula |
| MSC: | 20C20 |
| DOI: | 10.21136/CMJ.2025.0505-24 |
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| Date available: | 2025-09-19T11:57:59Z |
| Last updated: | 2025-09-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153059 |
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| Reference: | [2] Linckelmann, M.: Induction for interior algebras.Q. J. Math. 53 (2002), 195-200. Zbl 1011.20006, MR 1909511, 10.1093/qjmath/53.2.195 |
| Reference: | [3] Linckelmann, M.: The Block Theory of Finite Group Algebras. I.London Mathematical Society Student Texts 91. Cambridge University Press, Cambridge (2018). Zbl 1515.20015, MR 3821516, 10.1017/9781108349321 |
| Reference: | [4] Puig, L.: Pointed groups and construction of characters.Math. Z. 176 (1981), 265-292. Zbl 0464.20007, MR 0607966, 10.1007/BF01261873 |
| Reference: | [5] Puig, L.: On the Local Structure of Morita and Rickard Equivalences Between Brauer Blocks.Progress in Mathematics 178. Birkhäuser, Basel (1999). Zbl 0929.20012, MR 1707300, 10.1007/978-3-0348-8693-2 |
| Reference: | [6] Webb, P.: A Course in Finite Group Representation Theory.Cambridge Studies in Advanced Mathematics 161. Cambridge University Press, Cambridge (2016). Zbl 1371.20002, MR 3617363, 10.1017/CBO9781316677216 |
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