Groups with the same complex group algebras as some extensions of $PSL(2,pⁿ)$

Year, pages: 2017, 391 - 396

For a natural number $n$ and the prime $p$, let $L$ be an almost simple group with the socle $PSL(2,pⁿ)$ such that $p$ does not divide $[L: PSL(2,pⁿ)]$. In this paper, we prove that $L$ is uniquely determined by the first column of its character table. In particular, this implies that $L$ is uniquely determined by the structure of its complex group algebra.

Heydari, S., Ahanjideh, N. 2017. Groups with the same complex group algebras as some extensions of $PSL(2,pⁿ)$. In Mathematica Slovaca, vol. 67, no.2, pp. 391-396. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0275

Heydari, S., Ahanjideh, N. (2017). Groups with the same complex group algebras as some extensions of $PSL(2,pⁿ)$. Mathematica Slovaca, 67(2), 391-396. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0275