Enumeration of groups in some special varieties of $A$-groups

Autor: Arushi, Venkataraman, Geetha
Rok vydání: 2024
Předmět:
Zdroj: Bulletin of the Australian Mathematical Society, First View, p1-11, 27 August 2024
Druh dokumentu: Working Paper
DOI: 10.1017/S0004972724000431
Popis: We find an upper bound for the number of groups of order $n$ up to isomorphism in the variety $G = A_pA_qA_r$, where $p$, $q$ and $r$ are distinct primes. We also find a bound on the orders and on the number of conjugacy classes of subgroups that are maximal amongst the subgroups of the general linear group that are also in the variety $A_qA_r$.
Databáze: arXiv