The conjugacy classes of fixed point free elements in GL(n)(F) and SLn(F)

Authors
Citation
Jz. Nan et H. You, The conjugacy classes of fixed point free elements in GL(n)(F) and SLn(F), LIN ALG APP, 305(1-3), 2000, pp. 161-171
Citations number
8
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
305
Issue
1-3
Year of publication
2000
Pages
161 - 171
Database
ISI
SICI code
0024-3795(20000115)305:1-3<161:TCCOFP>2.0.ZU;2-M
Abstract
If there is a least positive integer m such that A(m) = I for an element A of GL(n)(F), then we call A a fixed point free element of order m. In the p resent paper, we determine the formula of the conjugacy classes of fixed po int free elements in GL(n)(F) and SLn(F) completely. (C) 2000 Elsevier Scie nce Inc. All rights reserved.