On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime"

Ali M. I. M. Al

On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime"

Abstract

A particular procedure has been followed in [1] to construct the conjugacy classes of the split extension p 2 : G L2(p). The object of this paper is to develop a general m ethod for constructing the conjugacy classes of p 2 : GL2(p), where p 2 is an elem entary Abelian p-group of order p 2. This procedure can be used to construct the conjugacy classes of the split extension p n : k where k is any finite group. A brief descrip- tion of the character table of p 2 : GL2 (p) is also given, the character table of p 2 : GL2(p) plays a big role in the construction of the character table of the m axim al subgroup pl+2 : GL2(p) of the projeçtive symplectic group PSP4(p) p-prim e [4], where pi+2 is the extra special group of order p 3, this is because (pl+2 : GL2(p)) / Z (p1+2) ~ p 2 : GL2(p) where Z (p1+2) is the çenter of p l+ 2 in p i+ 2 : GL2(p). These character tables are of great im portance to the docum entation program me of finite simple groups [3].

Keywords

References

Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ali M. I. M. Al This is me
Türkiye

Publication Date

January 1, 1992

Submission Date

January 1, 1992

Acceptance Date

-

Published in Issue

Year 1992 Volume: 41

IZ

https://izlik.org/JA78PS66ZH

Cite

RIS / Bibtex

APA

Al, A. M. I. M. (1992). On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://izlik.org/JA78PS66ZH

AMA

1.Al AMIM. On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime". Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. https://izlik.org/JA78PS66ZH

Chicago

Al, Ali M. I. M. 1992. “On the Conjugacy Classes of P2 :GL2 (p)-‘p ODD Prime’”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January). https://izlik.org/JA78PS66ZH.

EndNote

Al AMIM (January 1, 1992) On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41

IEEE

[1]A. M. I. M. Al, “On the Conjugacy classes of p2 :GL2 (p)-‘p ODD Prime’”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, Jan. 1992, [Online]. Available: https://izlik.org/JA78PS66ZH

ISNAD

Al, Ali M. I. M. “On the Conjugacy Classes of P2 :GL2 (p)-‘p ODD Prime’”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1, 1992). https://izlik.org/JA78PS66ZH.

JAMA

1.Al AMIM. On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime". Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. Available at https://izlik.org/JA78PS66ZH.

MLA

Al, Ali M. I. M. “On the Conjugacy Classes of P2 :GL2 (p)-‘p ODD Prime’”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, Jan. 1992, https://izlik.org/JA78PS66ZH.

Vancouver

1.Ali M. I. M. Al. On the Conjugacy classes of p2 :GL2 (p)-"p ODD Prime". Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 1992 Jan. 1;41. Available from: https://izlik.org/JA78PS66ZH