Groups Whose Proper Quotients AreFC-Groups
โ Scribed by Silvana Franciosi; Francesco de Giovanni; Leonid A. Kurdachenko
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 306 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is shown that any finitely generated, non-elementary Fuchsian group has among its homomorphic images all but finitely many of the alternating groups A n . This settles in the affirmative a long-standing conjecture of Graham Higman.
this paper is dedicated to helmut wielandt on the occasion of his 90th birthday Let A be a transitive subgroup of S n . We show that the largest cyclic quotient of A has order at most n. This can be interpreted as an equivalent result about extensions of constants in the Galois closure of a coverin