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On the fixed points of an automorphism of a symmetric design

โœ Scribed by Andrew Bowler

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
205 KB
Volume
138
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

It is shown for

where I:~1 denotes the order of c~.

๐Ÿ“œ SIMILAR VOLUMES

A Steiner 2-design with an automorphism
A Steiner 2-design with an automorphism fixing exactly r + 2 points
โœ Charles J. Colbourn ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB

Doyen conjectured that there is no Steiner 2-design having an automorphism with more than r + 1 but fewer than r + โˆš r -1 fixed points, where r is the replication number. The falsity of this conjecture is shown by describing 2-(45, 5, 1) designs having an automorphism of order 2 with exactly 13 fixe

On Automorphism-Fixed Subgroups of a Fre
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โœ A. Martino; E. Ventura ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 101 KB

Let F be a finitely generated free group, and let n denote its rank. A subgroup H of F is said to be automorphism-fixed, or auto-fixed for short, if there exists a set S of automorphisms of F such that H is precisely the set of elements fixed by every element of S; similarly, H is 1-auto-fixed if th