Calculation of cocyclic matrices

D. L. Flannery

doi:10.1016/0022-4049(95)00135-2

Calculation of cocyclic matrices

D. L. Flannery

University of Canberra
RMIT University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

21 Citations (Scopus)

Abstract

In this paper we provide a method of explicitly determining, for a given finite group G and finitely generated G-module U trivial under the action of G, a representative for each element (2-cocycle class) in H²(G,U). These cocycles are naturally displayed as |G| × |G| matrices. An example of calculating cocyclic matrices using the method is given.

Original language	English
Pages (from-to)	181-190
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	112
Issue number	2
DOIs	https://doi.org/10.1016/0022-4049(95)00135-2
Publication status	Published - 28 Oct 1996
Externally published	Yes

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10.1016/0022-4049(95)00135-2

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title = "Calculation of cocyclic matrices",

abstract = "In this paper we provide a method of explicitly determining, for a given finite group G and finitely generated G-module U trivial under the action of G, a representative for each element (2-cocycle class) in H2(G,U). These cocycles are naturally displayed as |G| {\texttimes} |G| matrices. An example of calculating cocyclic matrices using the method is given.",

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AU - Flannery, D. L.

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N2 - In this paper we provide a method of explicitly determining, for a given finite group G and finitely generated G-module U trivial under the action of G, a representative for each element (2-cocycle class) in H2(G,U). These cocycles are naturally displayed as |G| × |G| matrices. An example of calculating cocyclic matrices using the method is given.

AB - In this paper we provide a method of explicitly determining, for a given finite group G and finitely generated G-module U trivial under the action of G, a representative for each element (2-cocycle class) in H2(G,U). These cocycles are naturally displayed as |G| × |G| matrices. An example of calculating cocyclic matrices using the method is given.

UR - https://www.scopus.com/pages/publications/0030604984

U2 - 10.1016/0022-4049(95)00135-2

DO - 10.1016/0022-4049(95)00135-2

M3 - Article

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VL - 112

SP - 181

EP - 190

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

ER -

Calculation of cocyclic matrices

Abstract

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