Indecomposable linear groups

V. A. Bovdi; V. P. Rudko

Indecomposable linear groups

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be a noncyclic group of order 4, and let K = Z, Z₍₂₎ and Z₂ be the ring of rational integers, the localization of z at the prime 2 and the ring of 2-adic integers, respectively. We describe, up to conjugacy, all of the indecomposable subgroups in the group GL(m, K) which are isomorphic to G.

Original language	English
Pages (from-to)	327-336
Number of pages	10
Journal	Indian Journal of Pure and Applied Mathematics
Volume	40
Issue number	5
Publication status	Published - Oct 2009
Externally published	Yes

Keywords

Indecomposable group
Indecomposable representation
Linear group

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

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title = "Indecomposable linear groups",

abstract = "Let G be a noncyclic group of order 4, and let K = Z, Z(2) and Z2 be the ring of rational integers, the localization of z at the prime 2 and the ring of 2-adic integers, respectively. We describe, up to conjugacy, all of the indecomposable subgroups in the group GL(m, K) which are isomorphic to G.",

keywords = "Indecomposable group, Indecomposable representation, Linear group",

author = "Bovdi, {V. A.} and Rudko, {V. P.}",

year = "2009",

month = oct,

language = "English",

volume = "40",

pages = "327--336",

journal = "Indian Journal of Pure and Applied Mathematics",

issn = "0019-5588",

publisher = "Indian National Science Academy",

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T1 - Indecomposable linear groups

AU - Bovdi, V. A.

AU - Rudko, V. P.

PY - 2009/10

Y1 - 2009/10

N2 - Let G be a noncyclic group of order 4, and let K = Z, Z(2) and Z2 be the ring of rational integers, the localization of z at the prime 2 and the ring of 2-adic integers, respectively. We describe, up to conjugacy, all of the indecomposable subgroups in the group GL(m, K) which are isomorphic to G.

AB - Let G be a noncyclic group of order 4, and let K = Z, Z(2) and Z2 be the ring of rational integers, the localization of z at the prime 2 and the ring of 2-adic integers, respectively. We describe, up to conjugacy, all of the indecomposable subgroups in the group GL(m, K) which are isomorphic to G.

KW - Indecomposable group

KW - Indecomposable representation

KW - Linear group

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M3 - Article

AN - SCOPUS:72549119583

SN - 0019-5588

VL - 40

SP - 327

EP - 336

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 5

ER -

Indecomposable linear groups

Abstract

Keywords

ASJC Scopus subject areas

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