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Finite groups with regular orbits on vector spaces

โœ Scribed by Peter Fleischmann

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
247 KB
Volume
103
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Regular orbits of permutation groups on
Regular orbits of permutation groups on the power set
โœ Peter J Cameron ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

If a sequence of transitive permutation groups G of degree n have orders which are not too large (log IGI--o(n~) suttices), then the number of orbits on the power set is asymptotically 2n/]GI, and almost all of these orbits are regular. This conclusion holds in particular for primitive groups.

On regular {v, n}-arcs in finite project
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A regular {v,n}-arc of a projective space P of order q is a set S of Y points such that each line of P has exactly 0 , l or n points in common with S and such that there exists a line of P intersecting S in exactly n points. Our main results are as follows: (1) If P is a projective plane of order q

Group actions on finite spaces
Group actions on finite spaces
โœ R.E Strong ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 247 KB
On Almost Regular Automorphisms of Finit
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โœ A. Jaikin-Zapirain ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 143 KB

In this paper we prove that there are functions f ( p, m, n) and h(m) such that any finite p-group with an automorphism of order p n , whose centralizer has p m points, has a subgroup of derived length h(m) and index f ( p, m, n). This result gives a positive answer to a problem raised by E. I. Khuk