• Corpus ID: 237491860

# 2-nilpotent multiplier and 2-capability of finite 2-generator p-groups of class two

@inproceedings{Johari20212nilpotentMA,
title={2-nilpotent multiplier and 2-capability of finite 2-generator p-groups of class two},
author={Farangis Johari and Azam Kaheni},
year={2021}
}
• Published 11 September 2021
• Mathematics
Let p be a prime number. We give the explicit structure of 2nilpotent multiplier for each finite 2-generator p-group of class two. Moreover, 2-capable groups in that class are characterized.

## References

SHOWING 1-10 OF 17 REFERENCES
2-Capability of 2-Generator 2-Groups of Class Two
• Mathematics
• 2020
The aim of this paper is to classify all 2-capable 2-generator 2-groups of class two. Obtaining the structure of the 2-nilpotent multipliers of these 2-groups is the other aim.
Certain homological functors of 2-generator p-groups of class 2
• Mathematics
• 2010
Using a new classification of 2-generator p-groups of class 2, we compute various homological functors for these groups. These functors include the nonabelian tensor square, nonabelian exterior
ON THE 2-NILPOTENT MULTIPLIER OF FINITE p-GROUPS
• Mathematics
Glasgow Mathematical Journal
• 2014
Abstract The purpose of this paper is a further investigation on the 2-nilpotent multiplier, $\mathcal{M}$(2)(G), when G is a non-abelian p-group. Furthermore, taking G in the class of extra-special
Two generator p-groups of nilpotency class 2 and their conjugacy classes
• Mathematics
• 2012
We give a classi cation of 2-generator p-groups of nilpotency class 2. Using this classi cation, we give a formula for the number of such groups of order pn in terms of the partitions of n of length
c-Nilpotent Multiplier of Finite p-Groups
• Mathematics
Bulletin of the Malaysian Mathematical Sciences Society
• 2019
The aim of this work is to find some exact sequences on the c-nilpotent multiplier of a group G. We also give an upper bound for the c-nilpotent multiplier of finite p-groups and give the explicit
On capable $p$-groups of nilpotency class two
• Mathematics
• 2003
A group is called capable if it is a central factor group. Let ${\mathcal{P}}$ denote the class of finite $p$-groups of odd order and nilpotency class 2. In this paper we determine the capable
Two-generator two-groups of class two and their nonabelian tensor squares
• Mathematics
Glasgow Mathematical Journal
• 1999
The nonabelian tensor square G[otimes ] G of a group G is generated by the symbols g[otimes ] h, g,h ∈ G, subject to the relations gg\prime\otimesh=(^gg\prime\otimes^gh)(g\otimesh) and