Morava K-theories of \(p\)-groups with cyclic maximal subgroups and other related groups
type: Item
instance of: scholarly article
title: Morava K-theories of \(p\)-groups with cyclic maximal subgroups and other related groups
zbMATH Open document ID: 0997.55006
DOI: 10.1023/A:1014031111697
author: Maurizio Brunetti
published in: \(K\)-Theory
publication date: 2002-08-21T00:00:00Z
review text: Let \(K(n) *(\cdot)\) denote the \(n\)-th Morava \(K\)-theory at an odd prime, \(p\), and let \(M_{p^{m+2}}\) denote the modular group \(M_{p^{m+2}} = \langle a, b \mid a^{p^{m+1}} = b^p =1\), \(bab^{-1} = a^{p^{m+1}} \rangle\). The paper under review describes the algebras \(K(n)*(BM_{p^{m+2}})\) and \(K(n)* (BG)\) for \(G\) a finite group with Sylow \(p\)-subgroup isomorphic to \(Mp^{m+2}\). Combined with previous results this completes the description of the Morava \(K\)-theory of classifying spaces of groups whose Sylow \(p\)-subgroups have cyclic maximal subgroups.
reviewed by: Keith Johnson
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55R35
Mathematics Subject Classification ID: 55N22
zbMATH DE Number: 1785684
zbMATH Keywords: Morava K-theory
zbMATH Keywords: modular groups
zbMATH Keywords: classifying space
MaRDI profile type: Publication
full work available at URL: a:1014031111697
OpenAlex ID: W1976081427
description: scientific article; zbMATH DE number 1785684