Finite groups whose real classes have prime-power size
Group Theory
2022-12-06 v3
Abstract
We present a characterization of the finite groups in which all real classes have prime powers size.
Keywords
Cite
@article{arxiv.2108.06304,
title = {Finite groups whose real classes have prime-power size},
author = {Lorenzo Bonazzi},
journal= {arXiv preprint arXiv:2108.06304},
year = {2022}
}
Comments
The proof contains a mistake. Actually, it is not known weather there exists a 2-closed group whose real classes have prime power sizes, involving two distinct primes (that are necessarely 2 and an odd prime p)