On the holomorph of finite semisimple groups
| Autor: | Russell D. Blyth, Francesco Fumagalli |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Algebra and Number Theory
Group (mathematics) 010102 general mathematics Regular representation Group Theory (math.GR) Holomorphs Symmetric Groups Galois Group 01 natural sciences Set (abstract data type) Combinatorics Holomorph 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Mathematics - Group Theory Mathematics |
| Popis: | Given a finite nonabelian semisimple group G, we describe those groups that have the same holomorph as G, that is, those regular subgroups N ≃ G {N\simeq G} of S ( G ) {S(G)} , the group of permutations on the set G, such that N S ( G ) ( N ) = N S ( G ) ( ρ ( G ) ) {N_{S(G)}(N)=N_{S(G)}(\rho(G))} , where ρ is the right regular representation of G. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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