ON THE NUMBER OF PRIME ORDER SUBGROUPS OF FINITE GROUPS

DOI10.1017/S1446788709000226zbMath1191.20015OpenAlexW2159517910MaRDI QIDQ5852037

Stuart D. Scott, Timothy C. Burness

Publication date: 26 January 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788709000226

zbMATH Keywords

finite groupsnumbers of subgroupssubgroups of prime ordernear-rings of functions

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Near-rings (16Y30) Automorphisms of abstract finite groups (20D45) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (4)

Finite groups with an automorphism of large order ⋮ Another criterion for supersolvability of finite groups ⋮ REGULAR ORBITS OF COPRIME LINEAR GROUPS IN LARGE CHARACTERISTIC ⋮ Another criterion for solvability of finite groups

Cites Work

• Unnamed Item
• On varieties of groups and their associated near-rings
• Fixed point ratios in actions of finite classical groups. II.
• Nonsolvable groups with an automorphism inverting many elements
• Fixed point ratios in actions of finite exceptional groups of Lie type.
• Groups with automorphisms inverting most elements
• The fraction of the bijections generating the near-ring of 0-preserving functions.
• Soluble Groups with an Automorphism Inverting Many Elements
• Involution near-rings

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