Characters of Finite Quasigroups II: Induced Characters

K. W. Johnson; J. D.H. Smith

doi:10.1016/S0195-6698(86)80038-5

Characters of Finite Quasigroups II: Induced Characters

K. W. Johnson, J. D.H. Smith

Division of Engineering and Science (Abington)

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

18 Scopus citations

Abstract

Induced characters for finite quasigroups are defined, simplifying and generalizing the usual definition for groups. The Frobenius Reciprocity Theorem and an analogue of Artin's Theorem for these characters are proved. Character rings for quasigroups are examined. Induced characters are then used to build the character table of the octonion loop.

Original language	English (US)
Pages (from-to)	131-137
Number of pages	7
Journal	European Journal of Combinatorics
Volume	7
Issue number	2
DOIs	https://doi.org/10.1016/S0195-6698(86)80038-5
State	Published - 1986

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/S0195-6698(86)80038-5

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abstract = "Induced characters for finite quasigroups are defined, simplifying and generalizing the usual definition for groups. The Frobenius Reciprocity Theorem and an analogue of Artin's Theorem for these characters are proved. Character rings for quasigroups are examined. Induced characters are then used to build the character table of the octonion loop.",

author = "Johnson, {K. W.} and Smith, {J. D.H.}",

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AU - Smith, J. D.H.

PY - 1986

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N2 - Induced characters for finite quasigroups are defined, simplifying and generalizing the usual definition for groups. The Frobenius Reciprocity Theorem and an analogue of Artin's Theorem for these characters are proved. Character rings for quasigroups are examined. Induced characters are then used to build the character table of the octonion loop.

AB - Induced characters for finite quasigroups are defined, simplifying and generalizing the usual definition for groups. The Frobenius Reciprocity Theorem and an analogue of Artin's Theorem for these characters are proved. Character rings for quasigroups are examined. Induced characters are then used to build the character table of the octonion loop.

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U2 - 10.1016/S0195-6698(86)80038-5

DO - 10.1016/S0195-6698(86)80038-5

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AN - SCOPUS:0348075394

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JO - European Journal of Combinatorics

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ER -

Characters of Finite Quasigroups II: Induced Characters

Abstract

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