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Note on Heisenberg Characters of Heisenberg Groups

Authors :
Alieh Zolfi
Ali Reza Ashrafi
Source :
Ratio Mathematica, Vol 35, Iss 0, Pp 101-109 (2018)
Publication Year :
2018
Publisher :
Accademia Piceno Aprutina dei Velati, 2018.

Abstract

An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite Heisenberg groups are computed.

Details

Language :
English
ISSN :
15927415 and 22828214
Volume :
35
Issue :
0
Database :
Directory of Open Access Journals
Journal :
Ratio Mathematica
Publication Type :
Academic Journal
Accession number :
edsdoj.91ca4600235f453294fa1c7ae2da0811
Document Type :
article
Full Text :
https://doi.org/10.23755/rm.v35i0.429