OD-CHARACTERIZATION OF S4(4) AND ITS GROUP OF AUTOMORPHISMS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

NOSRATPOUR P.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of Linear and Topological Algebra Year:2013 | Volume:2 | Issue:3 Page(s): 155-160

Download Full-Text

View:

360

Download:

131

Cites:

Information Journal Paper

Title

OD-CHARACTERIZATION OF S4(4) AND ITS GROUP OF AUTOMORPHISMS

Author(s)

NOSRATPOUR P. | Issue Writer Certificate

Keywords

FINITE SIMPLE GROUP

OD-CHARACTERIZATION

GROUP OF LIE TYPE

Abstract

Let G be a finite group and p(G) be the set of all prime divisors of |G|. The prime graph of G is a simple graph G (G) with vertex set p(G) and two distinct vertices p and q in p(G) are adjacent by an edge if an only if G has an element of order pq. In this case, we write p ~ q. Let |G|=p a11. p a22…p akk, where p1<p2<…<pk are primes. For p Îp(G), let deg (p)=|{qÎp(G) |p ~ q}| be the degree of p in the graph G(G), we define D(G)=(deg (p1), deg (p2),…, deg (pk)) and call it the degree pattern of G. A group G is called k -fold OD-characterizable if there exist exactly k non-isomorphic groups S such that |G|=|S| and D(G)=D(S). Moreover, a 1-fold OD-characterizable group is simply called an OD-characterizable group. Let L=S4 (4) be the projective symplectic group in dimension 4 over a field with 4 elements. In this article, we classify groups with the same order and degree pattern as an almost simple group related to L. Since Aut (L)@Z4 hence almost simple groups related toL are L, L: 2 or L: 4. In fact, we prove that L, L: 2 and L: 4 are OD-characterizable.

Cites

No record.

References

No record.

Cite

APA: Copy

NOSRATPOUR, P.. (2013). OD-CHARACTERIZATION OF S₄(4) AND ITS GROUP OF AUTOMORPHISMS. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 2(3), 155-160. SID. https://sid.ir/paper/335582/en

Vancouver: Copy

NOSRATPOUR P.. OD-CHARACTERIZATION OF S₄(4) AND ITS GROUP OF AUTOMORPHISMS. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2013;2(3):155-160. Available from: https://sid.ir/paper/335582/en

IEEE: Copy

P. NOSRATPOUR, “OD-CHARACTERIZATION OF S₄(4) AND ITS GROUP OF AUTOMORPHISMS,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 2, no. 3, pp. 155–160, 2013, [Online]. Available: https://sid.ir/paper/335582/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops