Note on Heisenberg Characters of Heisenberg Groups

Authors

  • Alieh Zolfi Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I. R. Iran
  • Ali Reza Ashrafi Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I. R. Iran

DOI:

https://doi.org/10.23755/rm.v35i0.429

Keywords:

Heisenberg character, Heisenberg group

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.

References

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Published

2018-12-31

Issue

Vol. 35 (2018)

Section

Volume 35-2018

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