Computing a spectral sequence of finite Heisenberg groups of prime power order

被引：0

作者：

Ocana, Oihana Garaialde ^{[1
]}

Sanchez, Lander Guerrero ^{[1
]}

机构：

[1] Euskal Herriko Unibertsitatea, Matemat Saila, Zientzia & Teknol Fak, Posta Kutxa 644, Bilbao 48080, Spain

来源：

JOURNAL OF ALGEBRA | 2023年 / 620卷

关键词：

Spectral sequence; Cohomology ring; Finite p -groups; COHOMOLOGY;

D O I：

10.1016/j.jalgebra.2022.11.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 5 be a prime number, let n > 2 be a natural number and let Heis(pn) denote the Heisenberg group modulo pn. We study the Lyndon-Hochschild-Serre spectral sequence E(Heis(pn)) associated to Heis(pn) considered as a split extension, and show that, E(Heis(pn)) collapses in the third page. Moreover, for a fixed p, the spectral sequences E(Heis(pn)) are isomorphic as bigraded algebras from the second page on.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：558 / 584

页数：27

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