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.
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页码：558 / 584
页数：27
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