PreprintCC BY 4.0arXiv
Zeros in The Character Table of The Wreath Product of The Symmetric Group
Abstract
Let G be a finite group with t conjugacy classes, and let SN be the symmetric group. Let Zt(N) be the number of zeros in the character table of the wreath product Gwr SN. We prove Zt(N)≥ 2pt(N)2/(log N/t)(1+O((log log N/t)/(log N/t))), where pt(N) is the number of t-multipartitions of N.
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BibTeX
@misc{barman2026zeros,
title = {{Zeros in The Character Table of The Wreath Product of The Symmetric Group}},
author = {Jayanta Barman and Kamalakshya Mahatab},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13905},
eprint = {2609.13905},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13905},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Zeros in The Character Table of The Wreath Product of The Symmetric Group
AU - Jayanta Barman
AU - Kamalakshya Mahatab
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2609.13905
UR - https://arxiv.org/abs/2609.13905
AB - Let G be a finite group with t conjugacy classes, and let S_N be the symmetric group. Let Z_t(N) be the number of zeros in the character table of the wreath product Gwr S_N. We prove Z_t(N)≥ 2p_t(N)^2/(log N/t)(1+O((log log N/t)/(log N/t))), where p_t(N) is the number of t-multipartitions of N.
ER -