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Details for article 13 of 25 found articles
| Title: |
On faithful permutation representations of small degree |
| Author: |
Babai, Laszlo Goodman, Albert J. Pyber, Laszlo |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 21 (1993) nr. 5 pages 1587-1602 |
| Year: |
1993 |
| Contents: |
We study the obstacles for a family of finite groups to having faithful permutation representations of arbitrarily small degrees compared to their respective orders. We show that the only obstacle is that each group has a cyclic subgroup of prime-power order and bounded index. Specifically, we show the following: Let μ(G) be the smallest degree of a faithful permutation representation of G, and let i(G) be the index of its largest cyclic subgroup of prime-power order. Then [image omitted] for a constant c > 0 |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 13 of 25 found articles
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