THE PROPERTIES OF N- SINGER GENERATOR AND NON-COMMUTING SUBSETS OF FINITE THREE-DIMENSIONAL GENERAL LINEAR GROUPS

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AZAD A.A.

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

THE PROPERTIES OF N- SINGER GENERATOR AND NON-COMMUTING SUBSETS OF FINITE THREE-DIMENSIONAL GENERAL LINEAR GROUPS

Author(s)

AZAD A.A.

Keywords

SINGER CYCLE SUBGROUP

NON-COMMUTING SUBSET

GENERAL LINEAR GROUP

Abstract

LET G BE A GROUP. A SUBSET N OF G IS SAID TO BE NON-COMMUTING IF XY¹YX FOR ANY TWO DISTINCT ELEMENTS X AND Y IN N. IF ÇNÇ³ ÇMÇ FOR ANY OTHER NON-COMMUTING SUBSET M IN G, THEN N IS SAID TO BE A MAXIMAL NON-COMMUTING SUBSET. IN THIS PAPER WE OBTAIN LOWER BOUNDS FOR THE CARDINALITY OF A MAXIMAL NON-COMMUTING SUBSET, BY N-SINGER GENERATOR, IN A THREE-DIMENSIONAL GENERAL LINEAR GROUP. MOREOVER WE OBTAIN STRUCTURAL INFORMATION ABOUT EVERY MAXIMAL NON-COMMUTING SUBSET CONTAINING NO PROPER POWERS.

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APA: Copy

AZAD, A.A.. (2009). THE PROPERTIES OF N- SINGER GENERATOR AND NON-COMMUTING SUBSETS OF FINITE THREE-DIMENSIONAL GENERAL LINEAR GROUPS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904414/en

Vancouver: Copy

AZAD A.A.. THE PROPERTIES OF N- SINGER GENERATOR AND NON-COMMUTING SUBSETS OF FINITE THREE-DIMENSIONAL GENERAL LINEAR GROUPS. 2009. Available from: https://sid.ir/paper/904414/en

IEEE: Copy

A.A. AZAD, “THE PROPERTIES OF N- SINGER GENERATOR AND NON-COMMUTING SUBSETS OF FINITE THREE-DIMENSIONAL GENERAL LINEAR GROUPS,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904414/en

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