Recognition of Finite Simple Groups S4(q) by Their Element Orders

By V. Mazurov. 2002

94 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/65e2e2a2364aaed563db3e07843fd98a79b9e734

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Alireza Abdollahi
2. A. M. Hassanabadi
3. W. Zhou
4. Wujie Shi
5. A. R. Zokayi
6. A. Moghaddamfar

In Discrete Mathematics and Combinatorics

1. A. M. Hassanabadi
2. Alireza Abdollahi
3. W. Zhou
4. Wujie Shi
5. A. R. Zokayi
6. A. Moghaddamfar

In Electrical and Electronic Engineering

1. W. Zhou
2. Alireza Abdollahi
3. Wujie Shi
4. A. R. Zokayi
5. A. Moghaddamfar
6. A. M. Hassanabadi

Citations in the corpus

• Characterization of the finite simple groups by spectrum and order (2009, unknown): “(7) If L = D4(2) then G ' B3(2) or G ' D4(2) (see [26, 32]).”
• On the noncommuting graph associated with a finite group (2005, methodology): “The values for S, π1(S) and ni(S) for 2 ≤ i ≤ t(S) are the same as in Tables 1a–c of [7].”
• Noncyclic Graph of a Group (2007, background): “It is easy to see (e.g., from Table III in [5] or Tables 1a-1c in [ 12 ]) that there is a prime divisor p of |G| such that p − 1 divides |G| (I) and CG(g) = h gi for every element g ∈ G of order p. Since G ∼= H, |G| − 1 = |H| − |Cyc(H)|.”