3 citations · 8 across the 6 of their papers we have counts for
18 papers · 1 filter
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…
Capability of nilpotent products of cyclic groups
Arturo Magidin
A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalization of a theorem of Baer for t…
Capable groups of prime exponent and class two
Arturo Magidin
A group is called capable if it is a central factor group. We consider the capability of finite groups of class two and exponent , an odd prime. We restate the problem of ca…
Capability of certain nilpotent products of cyclic groups
Arturo Magidin
A group is called capable if it is a central factor group. We consider the capability of certain nilpotent products of cyclic groups, and obtain a generalisation of a theorem of Ba…