JOURNAL BROWSE
Search
Advanced SearchSearch Tips
CHARACTERIZATION OF CENTRAL UNITS OF ℤAn
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
CHARACTERIZATION OF CENTRAL UNITS OF ℤAn
Bilgin, Tevfik; Gorentas, Necat; Kelebek, I. Gokhan;
  PDF(new window)
 Abstract
The structure of V(Ƶ()) is known when . If n
 Keywords
normalizer;centralizer;generators of central units;
 Language
English
 Cited by
 References
1.
R. Z. Aleev, Higman's central unit theory, units of integral group rings of finite cyclic groups and Fibonacci numbers, Internat. J. Algebra Comput. 4 (1994), no. 3, 309-358. crossref(new window)

2.
R. Z. Aleev, Central elements of integral group rings, Algebra Log. 39 (2000), no. 5, 513-525.

3.
C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience Publishers, a division of John Wiley & Sons, New York-London 1962.

4.
M. Hertweck and E. Jespers, Class-preserving automorphisms and the normalizer property for Blackburn groups, J. Group Theory 12 (2009), no. 1, 157-169. crossref(new window)

5.
M. Hertweck and W. Kimmerle, Coleman automorphisms of finite groups, Math. Z. 42 (2002), no. 2, 203-215.

6.
E. Jespers, M. M. Parmenter, and S. K. Sehgal, Central units of integral group rings of nilpotent groups, Proc. Amer. Math. Soc. 124 (1996), no. 4, 1007-1012. crossref(new window)

7.
Y. Li and M. M. Parmenter, Central units of the integral group ring $ZA_5$, Proc. Amer. Math. Soc. 125 (1997), no. 1, 61-65. crossref(new window)

8.
Z. F. Patay, Structure of the center of the multiplicative group of a group ring, Visnik Kiiv. Univ. Ser. Mat. Mekh. No. 27 (1985), 90-91, 127.

9.
J. Ritter and S. K. Sehgal, Integral group rings with trivial central units, Proc. Amer. Math. Soc. 108 (1990), no. 2, 327-329. crossref(new window)

10.
The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.4.12, 2008. (http://www.gap-system.org)

11.
Waterloo Maple Inc., Maple, Version 7.00, 2008. (http://www.maplesoft.com)

12.
R. Z. Aleev, Central elements of integral group rings, translation in Algebra and Logic 39 (2000), no. 5, 293-300. crossref(new window)