๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Transitive groups with irreducible representations of bounded degree

โœ Scribed by S. A. Evdokimov; I. N. Ponomarenko

Publisher
Springer US
Year
1997
Tongue
English
Weight
579 KB
Volume
87
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Transitive Permutation Groups with Bound
Transitive Permutation Groups with Bounded Movement Having Maximal Degree
โœ Akbar Hassani; Mehdi Khayaty; E.I Khukhro; Cheryl E Praeger ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

Let G be a transitive permutation group on a set โ€ such that G is not a 2-group and let m be a positive integer. It was shown by the fourth author that if < g < < < ? ลฝ . @ โŒซ \_ โŒซ F m for every subset โŒซ of โ€ and all g g G, then โ€ F 2 mpr p y 1 , < < < < where p is the least odd prime dividing G . If

Groups without Faithful Transitive Permu
Groups without Faithful Transitive Permutation Representations of Small Degree
โœ Lรกszlรณ Babai; Albert J. Goodman; Lรกszlรณ Pyber ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

A subgroup H of a group G is core-free if H contains no non-trivial normal subgroup of G, or equivalently the transitive permutation representation of G on the cosets of H is faithful. We study the obstacles to a group having large core-free subgroups. We call a subgroup D a ''dedekind'' subgroup of