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- Title
RECOGNITION BY CHARACTER DEGREE GRAPH AND ORDER OF SIMPLE GROUPS OF ORDER LESS THAN 6000.
- Authors
KHOSRAVI, BEHROOZ; KHOSRAVI, BEHNAM; KHOSRAVI, BAHMAN; MOMEN, ZAHRA
- Abstract
Let G be a finite group. The character degree graph of G, which is denoted by Γ .G/, is the graph whose vertices are the prime divisors of the character degrees of the group G and two vertices p1 and p2 are joined by an edge if p1p2 divides some character degree of G. In this paper we prove that if G is a simple group of order less that 6000, then G is uniquely determined by its character degree graph and its order. Also by an example we show that this result is not true for all simple groups.
- Subjects
FINITE groups; GROUP theory; GRAPHIC methods; VERTICAL integration; ABELIAN groups
- Publication
Miskolc Mathematical Notes, 2014, Vol 15, Issue 2, p537
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2014.777