Strange permutation representations of free groups

DOI10.1017/S1446788700003293zbMath1046.20002MaRDI QIDQ4431484

Dugald Macpherson, Meenaxi Bhattacharjee

Publication date: 22 October 2003

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

zbMATH Keywords

random graphsfree groupspermutation representationsoligomorphic groups

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) General theory for infinite permutation groups (20B07) Free nonabelian groups (20E05) General properties and structure of locally compact groups (22D05) Infinite automorphism groups (20B27) Multiply transitive infinite groups (20B22)

Related Items

CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS, Compact open subgroups in simple totally disconnected groups, The scale function and lattices, Uniscalar p-adic Lie groups, LOCALLY COMPACT WREATH PRODUCTS, Locally compact groups built up from p-adic Lie groups, for p in a given set of primes, On infinite, cubic, vertex-transitive graphs with applications to totally disconnected, locally compact groups

Cites Work

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• Doubly transitive permutation groups with Abelian stabilizers
• The structure of totally disconnected, locally compact groups
• Intersection matrices for finite permutation groups
• Most Finitely Generated Permutation Groups are Free
• Cofinitary Permutation Groups