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Paper Information

Journal:   TRANSACTIONS ON COMBINATORICS   SEPTEMBER 2012 , Volume 1 , Number 3; Page(s) 5 To 10.
 
Paper: 

SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS

 
 
Author(s):  TAMIZH CHELVAM T.*, SATTANATHAN M.
 
* DEPARTMENT OF MATHEMATICS, MANONMANIAM SUNDARANAR UNIVERSITY, TIRUNELVELI 627012, TAMIL NADU, INDIA
 
Abstract: 

Let G be a finite group with the identity e. The subgroup intersection graph  GSI (G) of G is the graph with vertex set V (GSI (G)) =G-e and two distinct vertices x and y are adjacent in GSI (G) if and only if |áxñՈáyñ|>1, where áxñ is the cyclic subgroup of G generated by xÎG. In this paper, we obtain a lower bound for the independence number of subgroup intersection graph. We characterize certain classes of subgroup intersection graphs corresponding to finite abelian groups. Finally, we characterize groups whose automorphism group is the same as that of its subgroup intersection graph.

 
Keyword(s): SUBGROUP INTERSECTION GRAPH, FINITE ABELIAN GROUPS, INDEPENDENCE NUMBER
 
 
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APA: Copy

TAMIZH CHELVAM, T., & SATTANATHAN, M. (2012). SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS. TRANSACTIONS ON COMBINATORICS, 1(3), 5-10. https://www.sid.ir/en/journal/ViewPaper.aspx?id=290704



Vancouver: Copy

TAMIZH CHELVAM T., SATTANATHAN M.. SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS. TRANSACTIONS ON COMBINATORICS. 2012 [cited 2021September20];1(3):5-10. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=290704



IEEE: Copy

TAMIZH CHELVAM, T., SATTANATHAN, M., 2012. SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS. TRANSACTIONS ON COMBINATORICS, [online] 1(3), pp.5-10. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=290704.



 
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