THE INDEX OF SECOND CENTER IN FINITELY GENERATED GROUPS WITH A CONDITION ON INFINITE SUBSETS

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Pazandeh SH. Fatemeh; Faramarzi S. Asadollah

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

THE INDEX OF SECOND CENTER IN FINITELY GENERATED GROUPS WITH A CONDITION ON INFINITE SUBSETS

Author(s)

Pazandeh SH. Fatemeh | Faramarzi S. Asadollah

Keywords

FINITELY GENERATED GROUPS

RESIDUALLY FINITE GROUPS

LOCALLY GRADED GROUPS

Abstract

LET G BE A GROUP. WE SAY THAT G SATISFIES THE CONDITION T(¥) IF EVERY INFINITE SET OF ELEMENTS OF GCONTAINS THREE DISTINCT ELEMENTS X ¹&NBSP;Y, Z SUCH THAT [X, Y, Z] =1= [Y, Z, X] = [Z, X, Y]. IN THIS PAPER WE SHOW THAT A FINITELY GENERATED RESIDUALLY FINITE (LOCALLY GRADED) GROUPG IS IN T(¥) IF AND ONLY IF G/Z2 (G) IS FINITE.

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APA: Copy

Pazandeh SH., Fatemeh, & Faramarzi S., Asadollah. (2016). THE INDEX OF SECOND CENTER IN FINITELY GENERATED GROUPS WITH A CONDITION ON INFINITE SUBSETS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938710/en

Vancouver: Copy

Pazandeh SH. Fatemeh, Faramarzi S. Asadollah. THE INDEX OF SECOND CENTER IN FINITELY GENERATED GROUPS WITH A CONDITION ON INFINITE SUBSETS. 2016. Available from: https://sid.ir/paper/938710/en

IEEE: Copy

Fatemeh Pazandeh SH., and Asadollah Faramarzi S., “THE INDEX OF SECOND CENTER IN FINITELY GENERATED GROUPS WITH A CONDITION ON INFINITE SUBSETS,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938710/en

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