The May Spectral Sequence for a Finite p-Group Stops

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On a conjecture of a bound for the exponent of the Schur multiplier of a finite $p$-group

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on a conjecture of a bound for the exponent of the schur multiplier of a finite $p$-group

let $g$ be a $p$-group of nilpotency class $k$ with finite exponent $exp(g)$ and let $m=lfloorlog_pk floor$. we show that $exp(m^{(c)}(g))$ divides $exp(g)p^{m(k-1)}$, for all $cgeq1$, 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...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1994

ISSN: 0021-8693

DOI: 10.1006/jabr.1994.1194