Some New Groups which are not CI-groups with Respect to Graphs
نویسندگان
چکیده
منابع مشابه
Some New Groups which are not CI-groups with Respect to Graphs
A group G is a CI-group with respect to graphs if two Cayley graphs of G are isomorphic if and only if they are isomorphic by a group automorphism of G. We show that an infinite family of groups which include Dn × F3p are not CI-groups with respect to graphs, where p is prime, n 6= 10 is relatively prime to 3p, Dn is the dihedral group of order n, and F3p is the nonabelian group of order 3p.
متن کاملCI-groups with respect to ternary relational structures: new examples
We find a sufficient condition to establish that certain abelian groups are not CI-groups with respect to ternary relational structures, and then show that the groups Z3×Z2, Z7×Z2, and Z5 ×Z2 satisfy this condition. Then we completely determine which groups Z2 ×Zp, p a prime, are CI-groups with respect to color binary and ternary relational structures. Finally, we show that Z2 is not a CI-group...
متن کاملQuotients of CI-Groups are CI-Groups
We show that a quotient group of a CI-group with respect to (di)graphs is a CI-group with respect to (di)graphs. In [1,2], Babai and Frankl provided strong constraints on which finite groups could be CI-groups with respect to graphs. As a tool in this program, they proved [1, Lemma 3.5] that a quotient group G/N of a CI-group G with respect to graphs is a CI-group with respect to graphs provide...
متن کاملAUTOMORPHISM GROUPS OF SOME NON-TRANSITIVE GRAPHS
An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix M = [dij], where for ij, dij is the Euclidean distance between the nuclei i and j. In this matrix dii can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce different weights for distinct nuclei. Balaban introduced some monster graphs and then Randic computed complexit...
متن کاملEigenvalues of the Cayley Graph of Some Groups with respect to a Normal Subset
Set X = { M11, M12, M22, M23, M24, Zn, T4n, SD8n, Sz(q), G2(q), V8n}, where M11, M12, M22, M23, M24 are Mathieu groups and Zn, T4n, SD8n, Sz(q), G2(q) and V8n denote the cyclic, dicyclic, semi-dihedral, Suzuki, Ree and a group of order 8n presented by V8n = < a, b | a^{2n} = b^{4} = e, aba = b^{-1}, ab^{...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2018
ISSN: 1077-8926
DOI: 10.37236/6541