CHARACTERIZING PSL2(r) BY ITS ORDER AND THE NUMBER OF ITS SYLOW r-SUBGROUPS

DOI10.1142/S0219498813500655zbMath1285.20011MaRDI QIDQ5746953

Alireza Khalili Asboei

Publication date: 11 February 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

prime graphsMersenne primesprojective special linear groupsnumbers of Sylow subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Recognition of the simple group \(\mathrm {PSL}(2, p)\) by one character degree and order, Some results on the main supergraph of finite groups

Cites Work

• On the group with the same orders of Sylow normalizers as the finite projective special unitary group.
• Groups with the same orders of Sylow normalizers as the Mathieu groups.
• A characterization ofL n (q) by the normalizers' orders of their sylow subgroups
• On a problem of E. Artin