Constructing an Automorphism From an Anti-Automorphism
| Autor: | Christine Ayoub |
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| Rok vydání: | 1968 |
| Předmět: | |
| Zdroj: | Canadian Mathematical Bulletin. 11:367-370 |
| ISSN: | 1496-4287 0008-4395 |
| DOI: | 10.4153/cmb-1968-040-6 |
| Popis: | We consider the following problem: Let G be a group with distinct automorphisms β and σ and an anti-automorphism α such thatWhat can be said about G?If σ = α, σ is both an automorphism and an anti-automorphism so that G is abelian. Hence we assume that σ ≠ α. In this case, we show that G is non-abelian, but has an abelian subgroup of index 2. Conversely, for such a group G there always exist distinct automorphisms β and σ and an anti-automorphism α such that (1) holds. |
| Databáze: | OpenAIRE |
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