A contribution to the analysis of a reduction algorithm for groups with an extraspecial normal subgroup

Abdullah ÇAĞMAN; Nurullah ANKARALIOĞLU

Makale detayları

A contribution to the analysis of a reduction algorithm for groups with an extraspecial normal subgroup

Yazarlar:

Abdullah ÇAĞMAN | Nurullah ANKARALIOĞLU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.914-923

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746961

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Reduction algorithms are an important tool for understanding structural properties of groups. They play an important role in algorithms designed to investigate matrix groups over a finite field. One such algorithm was designed by Brooksbank et al. for members of the class C6C6C_6 in Aschbacher's theorem, namely groups NNN that are normalizers in GL(d,q)GL(d,q)GL(d,q) of certain absolutely irreducible symplectic-type rrr-groups RRR, where rrr is a prime and d=rnd=rnd=r^n with n>2n>2n>2. However, the analysis of this algorithm has only been completed when d=r2d=r2d=r^2 and when d=rnd=rnd=r^n and n>2n>2n>2, in the latter case under the condition that G/RZ(G)≅N/RZ(N)G/RZ(G)≅N/RZ(N)G/RZ(G)\cong N/RZ(N). We prove that the algorithm runs successfully for some groups in the case of d=r3d=r3d=r^3 without any assumption.

Makale detayları

A contribution to the analysis of a reduction algorithm for groups with an extraspecial normal subgroup

Yazarlar: Abdullah ÇAĞMAN | Nurullah ANKARALIOĞLU

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.914-923

Belge Tipi: Makale

Yayın Tarihi: 7/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746961

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Abdullah ÇAĞMAN | Nurullah ANKARALIOĞLU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.914-923

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746961

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098