Bicrossed products for finite groups

A. L. Agore; A. Chirvăsitu; B. Ion; G. Militaru

doi:10.1007/s10468-009-9145-6

Bicrossed products for finite groups

A. L. Agore
, A. Chirvăsitu
, B. Ion
, G. Militaru

Mathematics

University of Bucharest
University of Pittsburgh

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

20 Scopus citations

Abstract

We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one being of prime order, are described.

Original language	English
Pages (from-to)	481-488
Number of pages	8
Journal	Algebras and Representation Theory
Volume	12
Issue number	2-5
DOIs	https://doi.org/10.1007/s10468-009-9145-6
State	Published - Oct 2009

Keywords

Bicrossed products
Finite group
Hopf algebra

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10.1007/s10468-009-9145-6

Cite this

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title = "Bicrossed products for finite groups",

abstract = "We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one being of prime order, are described.",

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AU - Agore, A. L.

AU - Chirvăsitu, A.

AU - Ion, B.

AU - Militaru, G.

PY - 2009/10

Y1 - 2009/10

N2 - We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one being of prime order, are described.

AB - We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one being of prime order, are described.

KW - Bicrossed products

KW - Finite group

KW - Hopf algebra

UR - https://www.scopus.com/pages/publications/65149095831

U2 - 10.1007/s10468-009-9145-6

DO - 10.1007/s10468-009-9145-6

M3 - Article

AN - SCOPUS:65149095831

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VL - 12

SP - 481

EP - 488

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 2-5

ER -

Bicrossed products for finite groups

Abstract

Keywords

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