Collection by polynomials in finite \(p\)-groups.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1290.20015
author: B. Eick
published in: Computational and Combinatorial Group Theory and Cryptography
publication date: 2014-01-03T00:00:00Z
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20-04
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 6242541
zbMATH Keywords: finite \(p\)-groups
zbMATH Keywords: collection by polynomials
zbMATH Keywords: power-commutator presentations
describes a project that uses: GAP
describes a project that uses: SmallGroups Library
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1090/conm/582/11552
OpenAlex ID: W4243650591
DOI: 10.1090/CONM/582/11552
Recommended article: Q4276081
Recommended article: Q4273960
Recommended article: Q4838154
Recommended article: Efficient collection in infinite polycyclic groups.
Recommended article: Polynomial ideals and classes of finite groups
Recommended article: Groups generated by iterations of polynomials over finite fields
Recommended article: Using the Mal'cev correspondence for collection in polycyclic groups.
Recommended article: Representations of Finite Polyadic Groups
Recommended article: Polynomial structures on polycyclic groups
Recommended article: Polynomial invariants of finite groups. A survey of recent developments
title: Collection by polynomials in finite \(p\)-groups.
review text: It is shown how the multiplication and inversion in finite \(p\)-groups can be described by polynomials \(m\) and \(i\), respectively, over the Galois field \(\mathrm{GF}(p)\). A number of examples are exhibited (groups of exponent \(p\), Abelian \(p\)-groups, some group of order \(2^9\), exponent \(4\) and class \(5\)).NEWLINENEWLINEFor the entire collection see [Zbl 1253.20001].
reviewed by: Yakov Berkovich
description: scientific article; zbMATH DE number 6242541