7 papers
On Intersection Hypergraph of Finite Non-Cyclic Abelian Groups
A N Ardra, S Ballal
In this paper, we study various structural properties like girth, chromatic num ber, etc. of the intersection hypergraph on the subgroups of nite non-cyclic abelian group and we ch…
Classes of Subgroups of a finite group with isomorphic quotient groups
Tushar Halder, Sachin Ballal
In this paper, we study the poset QIso(G) of classes of subgroups of a finite group G having isomorphic quotients. Particularly, we study it for finite abelian groups and for some…
On Posets of Classes of Subgroups with Same Set of Orders of Elements
Sachin Ballal, Tushar Halder
In this paper, we study the posets of classes of subgroups of finite group having same set of orders of elements. We show that this poset is a chain only in the case of p-groups an…
On Posets of Classes of Automorphic Subgroups of Finite Groups
Sachin Ballal, Tushar Halder
In [16], Tarnauceanu studied the poset Iso(G), of isomorphic classes of subgroups of a finite group G and proposed several questions for further research. In this paper, we study t…
On Intersection and Co-maximal Hypergraph of
Sachin Ballal, Ardra A N
The aim of this paper is to study the intersection hypergraph and co-maximal hypergraph on the subgroups of $\mat…
Co-maximal Hypergraph on Dn
Sachin Ballal, Ardra A N
Let be a group and be the set of all non-trivial proper subgroups of . \textit{The co-maximal hypergraph of }, denoted by , is a hypergraph whose v…
Intersection Hypergraph on D_n
Sachin Ballal, Ardra A N
Let be a group and be the set of all non-trivial proper subgroups of . The intersection hypergraph of , denoted by , is a hypergraph whose ver…