@article {
author = {},
title = {PERMUTATION GROUPS WITH BOUNDED
MOVEMENT ATTAINING THE BOUNDS FOR
ODD PRIMES},
journal = {Journal of Sciences, Islamic Republic of Iran},
volume = {9},
number = {3},
pages = {-},
year = {1998},
publisher = {University of Tehran},
issn = {1016-1104},
eissn = {2345-6914},
doi = {},
abstract = {Let G be a transitive permutation group on a set ? and let m be a positive integer. If no element of G moves any subset of ? by more than m points, then |? | [2mp I (p-1)] wherep is the least odd primedividing |G |. When the bound is attained, we show that | ? | = 2 p q ….. q where ? is a non-negative integer with 2 < p, r 1 and q is a prime satisfying p < q < 2p, ? = 0 or 1, I i n. Furthermore, every 2-element of G fixes at least [2m/(p- 1)] points and each q -element of G fixes at least [2m(q -p)/(p- 1)( q - l)] points. Finally, we prove that if G is a p-group of exponent, at least p2 and I ? l = [2mp /(p- l)], then every fixed point free element of G has order p.},
keywords = {},
url = {https://jsciences.ut.ac.ir/article_31245.html},
eprint = {https://jsciences.ut.ac.ir/article_31245_74cddceca869ec8a5dae4cc763751189.pdf}
}