Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/13437
Title: The invariants of a Sylow 2-subgroup of the finite classical groups
Authors: LIOW YINXIA, ELIZABETH
Keywords: invariants, sylow, finite, classical, groups, thesis
Issue Date: 14-Nov-2007
Source: LIOW YINXIA, ELIZABETH (2007-11-14). The invariants of a Sylow 2-subgroup of the finite classical groups. ScholarBank@NUS Repository.
Abstract: The finite classical groups comprise of the general linear group, the unitary group, the symplectic group, the proper orthogonal group and the orthogonal group, over a finite field. In this thesis, we deal with five invariants of a Sylow 2-subgroup of the finite classical groups, over a field of q elements, where q is the power of some odd prime. The five invariants are as follows: the center, the number of elements of order 2 and their number of conjugacy classes, the rank and normal rank. By investigating invariants of a Sylow 2-subgroup of a given group, we can determine whether it is isomorphic to a finite classical group.
URI: http://scholarbank.nus.edu.sg/handle/10635/13437
Appears in Collections:Master's Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
invclass.pdf262.24 kBAdobe PDF

OPEN

NoneView/Download

Page view(s)

263
checked on Jan 15, 2018

Download(s)

169
checked on Jan 15, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.