The isomorphism problem for Cayley digraphs on groups of prime square order Given any prime p, there are two non-isomorphic groups of order p2. We determine precisely when a Cayley digraph on one of these groups is isomorphic to a ... A Joseph - 《Discrete Mathematics》 被引量: 29发表:...
A finite group G is exceptional if it has a quotient Q whose minimal faithful permutation degree is greater than that of G. We say that Q is a distinguished quotient. The smallest examples of exceptional p-groups have order p5. For an odd prime p, we classify all pairs (G,Q) where ...
Gamble, Greg; Praeger, Cheryl E.: Vertex-primitive groups and graphs of order twice the product of two distinct odd primes. - J. Group Theory 3 (2000), no... For a positive integer n, does there exist a vertex-transitive graph on n vertices which is not a Cayley graph, or, equival...
In this study, we report for the first time, the occurrence of large and stable all-male groups and the processes that drive the formation of these novel and long-term associations in male Asian elephants. We discuss these findings with respect to our current understanding of elephant sociality...
In order to provide a comparative inspection three different side groups, i.e. amine, nitro and methyl, in two different positions were considered for the functionalization of the molecule terminated with thiol or isocyanide anchoring groups. We showed that when the anchored molecule is perturbed ...
摘要: V. P. Gromyko, "Finite groups for which the number of different prime $pi$-divisors of the order is equal to the number of classes of non-invariant conjugate $pi d$-subgroups", Izv. Vyssh. Uchebn. Zaved. Mat., 1963, no. 3, 40–43...
We prove that the number of composition factors of G that have prime order p is at most (εqd−1)/(p−1), where εq is a function of q satisfying 1⩽εq⩽3/2. For every q, we give examples showing this bound is sharp infinitely often....
In order to correctly define and quantify influence in a social system, one should ideally first identify the decision-making mechanisms at play and the individual actions that impact behavioral decisions of others1. In the context of movement, these actions can include an individual’s position ...
Though we have a large and diverse sample, as the first study of this type and a sample that was intentionally not representative in order to engage many low-income participants, we strongly encourage further, multi-site studies to validate (or refute) our findings. Conclusion We sought to ...
This is because SHGs with high stocks of social capital have been seen to take collective action in order to demand public goods (Sanyal, 2009). Moreover, transmitting information through SHGs might lead to quicker behavior change (whether it be health and nutrition practices, agricultural ...