Hostname: page-component-848d4c4894-8bljj Total loading time: 0 Render date: 2024-06-28T02:34:35.520Z Has data issue: false hasContentIssue false
  • English
  • Français

Matrices that are similar to their inverses

Published online by Cambridge University Press:  02 March 2020

Grigore Călugăreanu
Grigore Călugăreanu*
Affiliation:
Dept. of Mathematics, Babes-Bolyai University, 1 Kogălniceanu Street, 400084, Cluj-Napoca, Romania e-mail: calu@math.ubbcluj.ro
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Articles
Information
The Mathematical Gazette , Volume 104 , Issue 559 , March 2020 , pp. 116 - 124
Copyright
© Mathematical Association 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Berrgren, J. L., Finite groups in which every element is conjugate to its inverse, Pac. J. of Math. 28 (1969) pp. 289–293.10.2140/pjm.1969.28.289CrossRefGoogle Scholar
Gow, R., Groups whose characters are rational-valued, J. of Algebra 40 (1) (1976) pp. 280–299.10.1016/0021-8693(76)90098-3CrossRefGoogle Scholar
Gow, R., Properties of the characters of the finite general linear group related to the transpose-inverse involution, Proc. London Math. Soc. (3) 47 (1983) (3) pp. 493–506.10.1112/plms/s3-47.3.493CrossRefGoogle Scholar
Hegedüs, P., Groups where each element is conjugate to its certain power, Cent. Eur. J. Math. 11 (10) (2013) pp. 1742–1749.Google Scholar
Alpern, D., Generic two integer variable equation solver, available at https://www.alpertron.com.ar/QUAD.HTMGoogle Scholar
Isaacs, I. M., Karagueuzian, D., Conjugacy in groups of upper triangular matrices, J. of Algebra 202 (1998) pp. 704–711.10.1006/jabr.1997.7311CrossRefGoogle Scholar
Brown, W. C., Matrices over commutative rings, Monographs and textbooks in pure and applied mathematics. New York, M. Dekker, (1993).Google Scholar