𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Certain finite groups as automorphism groups of forms of higher degree

✍ Scribed by Agnieszka Chlebowicz

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
101 KB
Volume
419
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we shall be interested in automorphism groups of forms of even degree higher than two over ordered fields. In [A. Chebowicz, A. SΕ‚adek, M. WoΕ‚owiec-MusiaΕ‚, Automorphisms of certain forms of higher degree over ordered fields, Linear Algebra Appl. 331 (2001) 145-153], we proved that any group of order 2n containing a central involution is isomorphic with the orthogonal group of a certain form of degree 4n and we remarked that the degree 4n is greater than necessary. In this paper for any finite group G with a central involution we will construct a form of degree 8 with the orthogonal group isomorphic to G.

πŸ“œ SIMILAR VOLUMES

Regular representations of finite groups
Regular representations of finite groups as automorphism groups of k-tournaments
✍ S. Marshall πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 104 KB

## Abstract It was shown by Babai and Imrich [2] that every finite group of odd order except $Z^2\_3$ and $Z^3\_3$ admits a regular representation as the automorphism group of a tournament. Here, we show that for __k__ β‰₯ 3, every finite group whose order is relatively prime to and strictly larger t