Nilpotent groups acting fixed point freely on solvable groups

Beverly J. Bailey

doi:10.1017/s0004972700022760

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Nilpotent groups acting fixed point freely on solvable groups

Beverly J. Bailey

Year: 1976 Journal: Bulletin of the Australian Mathematical Society Vol: 15 (3)Pages: 339-346 Publisher: Cambridge University Press

DOI: 10.1017/s0004972700022760

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Abstract

All groups considered are finite. We enlarge the class of groups for which the conjecture below is known to hold, to include all nilpotent groups A such that every proper subgroup of A is Z p ˜ Z p free for all primes p .

Keywords:

Mathematics Nilpotent Conjecture Nilpotent group Class (philosophy) Pure mathematics Fixed point Solvable group Central series Point (geometry) Combinatorics Group (periodic table) Mathematical analysis Geometry

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Nilpotent groups acting fixed point freely on solvable groups

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