A linear bound for \(\rho(n)\)

DOI10.1006/jabr.1995.1370zbMath0859.20014OpenAlexW2042192787MaRDI QIDQ1906641

Thomas Michael Keller

Publication date: 17 February 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1370

zbMATH Keywords

finite solvable groupsarithmetic conditions on element ordersnumbers of prime divisors

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) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items

Huppert's conjecture for character codegrees ⋮ On the prime divisors of element orders ⋮ Results related to Huppert's $\rho$-$\sigma$ conjecture ⋮ New bounds for numbers of primes in element orders of finite groups ⋮ A characterization of the prime graphs of solvable groups. ⋮ On the number of different prime divisors of element orders ⋮ The analog of Huppert's conjecture on character codegrees ⋮ ON ANALOGUES OF HUPPERT’S CONJECTURE ⋮ Co-degree graphs and order elements