March 8, 2024Open Access

Cyclic Characters of Alternating Groups

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Abstract

We determine the decomposition of cyclic characters of alternating groups into irreducible characters. As an application, we characterize pairs (w, V), where w Aₙ and V is an irreducible representation of Aₙ such that w admits a non-zero invariant vector in V. We also establish new global conjugacy classes for alternating groups, thereby giving a new proof of a result of Heide and Zalessky on the existence of such classes.

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Amrutha et al. (Fri,) studied this question.

synapsesocial.com/papers/68e752dab6db6435876cb744 https://doi.org/https://doi.org/10.48550/arxiv.2403.05109

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