Generalized characters whose values on non-identity element are roots of unity

Geoffrey R. Robinson

doi:10.1016/j.jalgebra.2011.02.008

Generalized characters whose values on non-identity element are roots of unity

Geoffrey R. Robinson

Mathematical Science

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We classify those generalized characters of a finite group G whose values on non-identity elements are all roots of unity, as long as a Sylow 2-subgroup of G does not have a cyclic subgroup of index 2.

Original language	English
Pages (from-to)	458-464
Number of pages	7
Journal	Journal of Algebra
Volume	333
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.02.008
Publication status	Published - 1 May 2011

Keywords

generalized character

Access to Document

10.1016/j.jalgebra.2011.02.008

Cite this

@article{10f3110b3214481b9ed68f8cf34bf55e,

title = "Generalized characters whose values on non-identity element are roots of unity",

abstract = "We classify those generalized characters of a finite group G whose values on non-identity elements are all roots of unity, as long as a Sylow 2-subgroup of G does not have a cyclic subgroup of index 2.",

keywords = "generalized character",

author = "Robinson, {Geoffrey R.}",

year = "2011",

month = may,

day = "1",

doi = "10.1016/j.jalgebra.2011.02.008",

language = "English",

volume = "333",

pages = "458--464",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Generalized characters whose values on non-identity element are roots of unity

AU - Robinson, Geoffrey R.

PY - 2011/5/1

Y1 - 2011/5/1

N2 - We classify those generalized characters of a finite group G whose values on non-identity elements are all roots of unity, as long as a Sylow 2-subgroup of G does not have a cyclic subgroup of index 2.

AB - We classify those generalized characters of a finite group G whose values on non-identity elements are all roots of unity, as long as a Sylow 2-subgroup of G does not have a cyclic subgroup of index 2.

KW - generalized character

U2 - 10.1016/j.jalgebra.2011.02.008

DO - 10.1016/j.jalgebra.2011.02.008

M3 - Article

SN - 0021-8693

VL - 333

SP - 458

EP - 464

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Generalized characters whose values on non-identity element are roots of unity

Abstract

Keywords

Access to Document

Fingerprint

Cite this