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- W2951457768 abstract "In this article, we present an explicit formula for the $c$th nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups of class at most $cgeq 1$) of the $n$th nilpotent product of some cyclic groups $G={mathbb {Z}}stackrel{n}{*} ... stackrel{n}{*}{mathbb {Z}}stackrel{n}{*} {mathbb {Z}}_{r_1}stackrel{n}{*} ... stackrel{n}{*}{mathbb{Z}}_{r_t}$, (m-copies of $mathbb {Z}$), where $r_{i+1} | r_i$ for $1 leq i leq t-1$ and $c geq n$ such that $ (p,r_1)=1$ for all primes $p$ less than or equal to $n$. Also, we compute the polynilpotent multiplier of the group $G$ with respect to the polynilpotent variety ${mathcal N}_{c_1,c_2,...,c_t}$, where $c_1 geq n.$" @default.
- W2951457768 created "2019-06-27" @default.
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- W2951457768 date "2011-03-26" @default.
- W2951457768 modified "2023-09-27" @default.
- W2951457768 title "Polynilpotent Multipliers of Some Nilpotent Products of Cyclic Groups" @default.
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