ON A CONJECTURE OF A BOUND FOR THE EXPONENT OF THE SCHUR MULTIPLIER OF A FINITE P-GROUP

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MASHAYEKHY B.; HOKMABADI A.; MOHAMMADZADEH F.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:4 Page(s): 235-242

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Title

ON A CONJECTURE OF A BOUND FOR THE EXPONENT OF THE SCHUR MULTIPLIER OF A FINITE P-GROUP

Author(s)

MASHAYEKHY B. | HOKMABADI A. | MOHAMMADZADEH F. | Issue Writer Certificate

Keywords

SCHUR MULTIPLIER

NILPOTENT MULTIPLIER

EXPONENT

FINITE P-GROUPS

Abstract

Let G be a p-group of nilpotency class k with finite EXPONENT exp (G) and let m=|logp k|. We show that exp (M (c) (G)) divides exp (G) pm (k−1), for all c³1, where M (c) (G) denotes the c-nilpotent multiplier of G. This implies that exp (M (G)) divides exp (G), for all FINITE P-GROUPS of class at most p − 1. Moreover, we show that our result is an improvement of some previous bounds for the EXPONENT of M (c) (G) given by M. R. Jones, G. Ellis and P. Moravec in some cases.

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APA: Copy

MASHAYEKHY, B., HOKMABADI, A., & MOHAMMADZADEH, F.. (2011). ON A CONJECTURE OF A BOUND FOR THE EXPONENT OF THE SCHUR MULTIPLIER OF A FINITE P-GROUP. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 235-242. SID. https://sid.ir/paper/579680/en

Vancouver: Copy

MASHAYEKHY B., HOKMABADI A., MOHAMMADZADEH F.. ON A CONJECTURE OF A BOUND FOR THE EXPONENT OF THE SCHUR MULTIPLIER OF A FINITE P-GROUP. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):235-242. Available from: https://sid.ir/paper/579680/en

IEEE: Copy

B. MASHAYEKHY, A. HOKMABADI, and F. MOHAMMADZADEH, “ON A CONJECTURE OF A BOUND FOR THE EXPONENT OF THE SCHUR MULTIPLIER OF A FINITE P-GROUP,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 235–242, 2011, [Online]. Available: https://sid.ir/paper/579680/en

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