On the size of the Schur multiplier of finite groups

Autor:	Kalithasan, Sathasivam, Mavely, Tony N., Thomas, Viji Z.
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Combinatorics 15A63 15A69 11E39 20D15 20F18 20J05 20J06
Druh dokumentu:	Working Paper
Popis:	We obtain sharp bounds for the size of the Schur multiplier of finite groups, which improves all existing bounds. Moreover, we also obtain sharp bounds for the second cohomology group $H^2(G,\mathbb{Z}/p\mathbb{Z})$ of a $p$-group with coefficients in $\mathbb{Z}/p\mathbb{Z}.$
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.02793 Zobrazit plný text záznamu View this record from Arxiv