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arXiv · 1906.06918

On the Exponent of the Schur Multiplier

Ammu. E. Antony·Komma Patali·Viji. Z. Thomas
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Abstract

A longstanding problem attributed to I. Schur says that for a finite group $G$, the exponent of the second homology group $H_2(G, \mathbb{Z})$ divides the exponent of $G$. In this paper, we prove this conjecture for finite nilpotent groups of odd exponent and of nilpotency class 5, $p$-central metabelian $p$ groups, and groups considered by L. E . Wilson in \cite{LEW}. Moreover, we improve several bounds given by various authors.

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Ammu. E. Antony, Komma Patali, Viji. Z. Thomas. 2019-06-17. On the Exponent of the Schur Multiplier. https://arxiv.org/abs/1906.06918

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