This page is a verifiable reading map for Chapter 7, “The Thompson Subgroup,” of Isaacs' Finite Group Theory. It does not reproduce the source text; it maps all 8 numbered results and 7 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 | |
|---|---|---|---|---|---|
| 7A | Thompson's local theorems | [[thompson-subgroup | Thompson subgroup]] | 5 | 6 |
| 7B | Local reduction in the proof of Burnside's theorem | [[burnside-paqb-theorem | Burnside paqb theorem]] | 1 | 0 |
| 7C | Prime-local structure in Burnside's theorem | [[burnside-paqb-theorem | Burnside paqb theorem]] | 1 | 1 |
| 7D | Completion of the Burnside pa qb theorem | [[burnside-paqb-theorem | Burnside paqb theorem]] | 1 | 0 |
Numbered-result index
| Number and name | Type | Wikist article | Status | |
|---|---|---|---|---|
| Thompson (7.1) | theorem | [[burnside-paqb-theorem | Burnside paqb theorem]] | Dedicated treatment |
| Numbered result 7.2 | lemma | [[thompson-subgroup | Thompson subgroup]] | Topic index |
| Numbered result 7.3 | lemma | [[sylow-theorems | Sylow theorems]] | Dedicated treatment |
| Numbered result 7.4 | lemma | [[thompson-subgroup | Thompson subgroup]] | Topic index |
| Numbered result 7.5 | theorem | [[sylow-theorems | Sylow theorems]] | Dedicated treatment |
| Numbered result 7.6 | theorem | [[sylow-theorems | Sylow theorems]] | Dedicated treatment |
| Numbered result 7.7 | lemma | [[burnside-paqb-theorem | Burnside paqb theorem]] | Topic index |
| Numbered result 7.8 | theorem | [[glauberman-lemma | Glauberman lemma]] | Dedicated treatment |
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 | |
|---|---|---|---|---|
| 7A.1 | Thompson's local theorems | [[thompson-subgroup | Thompson subgroup]] | Exercise index |
| 7A.2 | Thompson's local theorems | [[thompson-subgroup | Thompson subgroup]] | Exercise index |
| 7A.3 | Thompson's local theorems | [[thompson-subgroup | Thompson subgroup]] | Exercise index |
| 7A.4 | Thompson's local theorems | [[thompson-subgroup | Thompson subgroup]] | Exercise index |
| 7A.5 | Thompson's local theorems | [[thompson-subgroup | Thompson subgroup]] | Exercise index |
| 7A.6 | Thompson's local theorems | [[thompson-subgroup | Thompson subgroup]] | Exercise index |
| 7C.1 | Prime-local structure in Burnside's theorem | [[burnside-paqb-theorem | Burnside paqb theorem]] | 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]
