2-Nilpotent Multiplier and 2-Capability of Finite 2-Generator p-Groups of Class Two
نویسندگان
چکیده
Let p be a prime number. We give the explicit structure of 2-nilpotent multiplier for each finite 2-generator p-group class two. Moreover, 2-capable groups in that are characterized.
منابع مشابه
nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2
Here we consider all finite non-abelian 2-generator $p$-groups ($p$ an odd prime) of nilpotency class two and study the probability of having $n^{th}$-roots of them. Also we find integers $n$ for which, these groups are $n$-central.
متن کاملnth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2
here we consider all finite non-abelian 2-generator $p$-groups ($p$ an odd prime) of nilpotency class two and study the probability of having $n^{th}$-roots of them. also we find integers $n$ for which, these groups are $n$-central.
متن کاملEnumerating Finite Class-2-nilpotent Groups on 2 Generators
We compute the numbers g(n, 2, 2) of nilpotent groups of order n, of class at most 2 generated by at most 2 generators, by giving an explicit formula for the Dirichlet generating function P
متن کاملGenerator 2 - Groups of Class Two
A group is called capable if it is a central factor group. We characterize the capable 2-generator 2-groups of class 2 in terms of a standard presentation.
متن کاملCapable Two-generator 2-groups of Class Two
A group is called capable if it is a central factor group. We characterize the capable 2-generator 2-groups of class 2 in terms of a standard presentation.
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2023
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-023-02262-z