Version 1
: Received: 7 July 2017 / Approved: 10 July 2017 / Online: 10 July 2017 (09:01:04 CEST)
How to cite:
Moradi, H.; Darafsheh, M.R.; Iranmanesh, A. Quasirecognition by Prime Graph of the Groups 2D2n(q) Where q < 105. Preprints2017, 2017070017. https://doi.org/10.20944/preprints201707.0017.v1
Moradi, H.; Darafsheh, M.R.; Iranmanesh, A. Quasirecognition by Prime Graph of the Groups 2D2n(q) Where q < 105. Preprints 2017, 2017070017. https://doi.org/10.20944/preprints201707.0017.v1
Moradi, H.; Darafsheh, M.R.; Iranmanesh, A. Quasirecognition by Prime Graph of the Groups 2D2n(q) Where q < 105. Preprints2017, 2017070017. https://doi.org/10.20944/preprints201707.0017.v1
APA Style
Moradi, H., Darafsheh, M.R., & Iranmanesh, A. (2017). Quasirecognition by Prime Graph of the Groups <sup>2</sup><em>D</em><sub>2<em>n</em></sub>(<em>q</em>) Where <em>q</em> < 10<sup>5</sup>. Preprints. https://doi.org/10.20944/preprints201707.0017.v1
Chicago/Turabian Style
Moradi, H., Mohammad Reza Darafsheh and Ali Iranmanesh. 2017 "Quasirecognition by Prime Graph of the Groups <sup>2</sup><em>D</em><sub>2<em>n</em></sub>(<em>q</em>) Where <em>q</em> < 10<sup>5</sup>" Preprints. https://doi.org/10.20944/preprints201707.0017.v1
Abstract
Let G be a finite group. The prime graph Γ(G) of G is defined as follows: The set of vertices of Γ(G) is the set of prime divisors of |G| and two distinct vertices p and p' are connected in Γ(G), whenever G has an element of order pp'. A non-abelian simple group P is called recognizable by prime graph if for any finite group G with Γ(G)=Γ(P), G has a composition factor isomorphic to P. In [4] proved finite simple groups 2Dn(q), where n ≠ 4k are quasirecognizable by prime graph. Now in this paper we discuss the quasirecognizability by prime graph of the simple groups 2D2k(q), where k ≥ 9 and q is a prime power less than 105.
Keywords
prime graph; simple group; orthogonal groups; quasirecognition
Subject
Computer Science and Mathematics, Computer Vision and Graphics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
