有限群的交换幂与外部度
K理论与同调
2018-12-14 v3
摘要
在[P. Niroomand, R. Rezaei, On the exterior degree of finite groups, Comm. Algebra 39 (2011), 335-343]中引入了一个群不变量,该不变量与有限群G的外平方G∧G中满足x∧y=1_{G∧G}的元素x和y的数量相关。该数量对G的Schur乘子施加了限制,从而可以描述大类群。在本文中,我们推广了关于该主题的先前研究,重点关注H∧K中形如h^m∧k且满足h^m∧k=1_{H∧K}的元素数量,其中m≥1,且H和K是G的任意子群。
引用
@article{arxiv.1102.2304,
title = {Commuting powers and exterior degree of finite groups},
author = {Peyman Niroomand and Rashid Rezaei and Francesco G. Russo},
journal= {arXiv preprint arXiv:1102.2304},
year = {2018}
}
备注
to appear in the J. Korean Math. Soc. with revisions