6 citations · 24 across the 23 of their papers we have counts for
23 papers
Embedding groups of class two and prime exponent in capable and non-capable groups
Arturo Magidin
We show that if is any -group of class at most two and exponent , then there exist groups and of class two and exponent that contain , neither of which…
On the capability of finite groups of class two and prime exponent
Arturo Magidin
We consider the capability of -groups of class two and odd prime exponent. The question of capability is shown to be equivalent to a statement about vector spaces and linear tra…
Capability of nilpotent products of cyclic groups II
Arturo Magidin
In Part I it was shown that if G is a p-group of class k, generated by elements of orders 1<p^{alpha_1} <= ... <= p^{alpha_r}, then a necessary condition for the capability of G is…
Capable groups of prime exponent and class 2, II
Arturo Magidin
We consider the capability of groups of class two and odd prime exponent. We use linear algebra and counting arguments to establish a number of new results. In particular, we s…
Some results on capable groups of prime exponent and class two
Arturo Magidin
This note collects several results on the capability of -groups of class two and prime exponent. Among the new results, we settle the 4-generator case for this class.
On the orders of generators of capable -groups
Arturo Magidin
A group is called capable if it is a central factor group. For each prime and positive integer , we prove the existence of a capable -group of class minimally generat…