arXiv Open Access 2024

Chirality and non-real elements in $G_2(q)$

Sushil Bhunia Amit Kulshrestha Anupam Singh

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Abstrak

In this article, we determine the non-real elements--the ones that are not conjugate to their inverses--in the group $G = G_2(q)$ when $char(F_q)\neq 2,3$. We use this to show that this group is chiral; that is, there is a word w such that $w(G)\neq w(G)^{-1}$. We also show that most classical finite simple groups are achiral

Topik & Kata Kunci

math.GR

Penulis (3)

Sushil Bhunia

Amit Kulshrestha

Anupam Singh

Format Sitasi

APA MLA BibTeX

Bhunia, S., Kulshrestha, A., Singh, A. (2024). Chirality and non-real elements in $G_2(q)$. https://arxiv.org/abs/2408.15546

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓