On Quasi Steinberg Characters of Complex Reflection Groups

Mishra, A and Paul, D and Singla, P (2023) On Quasi Steinberg Characters of Complex Reflection Groups. In: Algebras and Representation Theory .

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Abstract

Let G be a finite group and p be a prime number dividing the order of G. An irreducible character χ of G is called a quasi p-Steinberg character if χ(g) is nonzero for every p-regular element g in G. In this paper, we classify the quasi p-Steinberg characters of complex reflection groups G(r,q,n) and exceptional complex reflection groups. In particular, we obtain this classification for Weyl groups of type Bn and type Dn.

Item Type:	Journal Article
Publication:	Algebras and Representation Theory
Publisher:	Springer Science and Business Media B.V.
Additional Information:	The copyright for this article belongs to the Authors.
Keywords:	Complex reflection groups; Finite groups; Irreducible characters; Murnaghan�nakayama rule; Prime number; Quasi steinberg character; Quasi-p; Regular elements; Weyl group
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	14 Mar 2023 07:12
Last Modified:	14 Mar 2023 07:12
URI:	https://eprints.iisc.ac.in/id/eprint/80995

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