Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
Seiten
2022
American Mathematical Society (Verlag)
978-1-4704-5383-1 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-5383-1 (ISBN)
A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these non-trivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. The characterization is then applied to study s-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary that, except for cycles, a non-bipartite connected 3-arc-transitive Cayley graph of a finite solvable group is necessarily a normal cover of the Petersen graph or the Ho?man-Singleton graph.
Cai-Heng Li, Southern University of Science and Technology, Guandong, China. Binzhou Xia, The University of Melbourne, Parkville, Australia.
| Erscheinungsdatum | 03.10.2022 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 363 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4704-5383-5 / 1470453835 |
| ISBN-13 | 978-1-4704-5383-1 / 9781470453831 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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