This page is a verifiable reading map for Chapter 10, “More Transfer Theory,” of Isaacs' Finite Group Theory. It does not reproduce the source text; it maps all 28 numbered results and 15 problems to the core or supporting Wikist articles that carry the explanation. [@isaacs2008]
How to use this guide
Section navigation
| Section | Topic | Target article | Results | Problems | |
|---|---|---|---|---|---|
| 10A | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | 11 | 7 |
| 10B | Regular p-groups, metacyclic groups, and Maschke's method | [[regular-p-group | Regular p-group]] | 6 | 2 |
| 10C | Group rings, augmentation ideals, and the principal-ideal-type theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | 11 | 6 |
Numbered-result index
| Number and name | Type | Wikist article | Status | |
|---|---|---|---|---|
| Yoshida (10.1) | theorem | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Explicit citation |
| Numbered result 10.2 | corollary | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Topic index |
| Numbered result 10.3 | lemma | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Topic index |
| Numbered result 10.4 | theorem | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Topic index |
| Numbered result 10.5 | corollary | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Topic index |
| Numbered result 10.6 | lemma | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Topic index |
| Numbered result 10.7 | lemma | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Topic index |
| Transitivity of transfer (10.8) | theorem | [[transfer-transitivity | Transitivity of transfer]] | Explicit citation |
| Numbered result 10.9 | theorem | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Topic index |
| Mackey transfer (10.10) | theorem | [[mackey-transfer-theorem | Mackey transfer theorem]] | Explicit citation |
| Numbered result 10.11 | lemma | [[sylow-theorems | Sylow theorems]] | Dedicated treatment |
| Huppert (10.12) | theorem | [[regular-p-group | Regular p-group]] | Topic index |
| Numbered result 10.13 | lemma | [[regular-p-group | Regular p-group]] | Topic index |
| Numbered result 10.14 | lemma | [[regular-p-group | Regular p-group]] | Topic index |
| Numbered result 10.15 | theorem | [[maschke-theorem | Maschke's theorem]] | Dedicated treatment |
| Maschke (10.16) | theorem | [[maschke-theorem | Maschke's theorem]] | Explicit citation |
| Numbered result 10.17 | corollary | [[regular-p-group | Regular p-group]] | Topic index |
| Numbered result 10.18 | theorem | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Dedicated treatment |
| Numbered result 10.19 | lemma | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.20 | theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.21 | lemma | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.22 | corollary | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.23 | corollary | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.24 | theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.25 | theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.26 | theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.27 | lemma | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Topic index |
| Numbered result 10.28 | corollary | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Explicit citation |
Problem knowledge index
The table locates every problem at its main knowledge node. It does not disguise solutions as encyclopedia prose; exercise material that has been extracted into a theorem or structural consequence is identified in the target article.
| Problem | Section topic | Wikist article | Status | |
|---|---|---|---|---|
| 10A.1 | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Exercise index |
| 10A.2 | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Exercise index |
| 10A.3 | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Exercise index |
| 10A.4 | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Exercise index |
| 10A.5 | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Exercise index |
| 10A.6 | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Exercise index |
| 10A.7 | Yoshida's theorem and advanced transfer formulas | [[yoshida-transfer-theorem | Yoshida transfer theorem]] | Exercise index |
| 10B.1 | Regular p-groups, metacyclic groups, and Maschke's method | [[regular-p-group | Regular p-group]] | Exercise index |
| 10B.2 | Regular p-groups, metacyclic groups, and Maschke's method | [[regular-p-group | Regular p-group]] | Exercise index |
| 10C.1 | Group rings, augmentation ideals, and the principal-ideal-type theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Exercise index |
| 10C.2 | Group rings, augmentation ideals, and the principal-ideal-type theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Exercise index |
| 10C.3 | Group rings, augmentation ideals, and the principal-ideal-type theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Exercise index |
| 10C.4 | Group rings, augmentation ideals, and the principal-ideal-type theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Exercise index |
| 10C.5 | Group rings, augmentation ideals, and the principal-ideal-type theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Exercise index |
| 10C.6 | Group rings, augmentation ideals, and the principal-ideal-type theorem | [[principal-ideal-theorem-transfer | Principal-ideal-type theorem for transfer]] | Exercise index |
Quality boundary
This guide provides complete navigation rather than replacing the source. Core articles include principal proofs; supporting articles give precise statements, boundaries, examples, and proof references. Items marked as topic or exercise indexes retain their source locations in the coverage manifest and can be promoted to standalone articles through community review. [@isaacs2008]
