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On the maximal subgroups of the finite classical groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Aschbacher, Michael |
| Copyright Year | 1984 |
| Abstract | (1.1) Definition Let 1 6= G be a group. A subgroup M of G is said to be maximal if M 6= G and there exists no subgroup H such that M < H < G. IfG is finite, by order reasons every subgroupH 6= G is contained in a maximal subgroup. If M is maximal in G, then also every conjugate gMg−1 of M in G is maximal. Indeed gMg−1 < K < G =⇒ M < g−1Kg < G. For this reason the maximal subgroups are studied up to conjugation. (1.2) Lemma Let G = G′ and let M be a maximal subgroup of G. Then: |
| Starting Page | 469 |
| Ending Page | 514 |
| Page Count | 46 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF01388470 |
| Volume Number | 76 |
| Alternate Webpage(s) | http://siba-ese.unisalento.it/index.php/quadmat/article/download/16448/14155 |
| Alternate Webpage(s) | https://doi.org/10.1007/BF01388470 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
