On weak permutability between groups

DOI10.1016/0021-8693(80)90032-0zbMath0442.20014OpenAlexW2030861234MaRDI QIDQ1143490

S. H. Smith

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90032-0

zbMATH Keywords

Schur multiplierfree productaugmentation idealsemi- direct productgeneralized Coxeter groupweakly permutable groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Chains and lattices of subgroups, subnormal subgroups (20E15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Commutator calculus (20F12) Projective representations and multipliers (20C25)

Related Items (19)

A generalization of weak commutativity between two isomorphic groups ⋮ On a construction related to the non-abelian tensor square of a group ⋮ On weak commutativity in groups ⋮ A presentation for a crossed embedding of finite solvable groups ⋮ Advances on a construction related to the non-abelian tensor square of a group ⋮ Weak commutativity for pro-\(p\) groups ⋮ Non-abelian tensor square and related constructions of \(p\)-groups ⋮ On some series of a group related to the non-abelian tensor square of groups ⋮ The weak commutativity construction for Lie algebras ⋮ On weak commutativity in \(p\)-groups ⋮ Weak commutativity, virtually nilpotent groups, and Dehn functions ⋮ Unnamed Item ⋮ Weak commutativity and nilpotency ⋮ On the Bieri-Neumann-Strebel-Renz invariants of the weak commutativity construction \(\mathfrak{X}(G)\) ⋮ On weak commutativity between finite p-groups, p odd ⋮ A generalization of the alternating groups - A question on finiteness and representation ⋮ Homological and homotopical finiteness properties of the group \(\mathcal {E}(G)\) ⋮ On commutativity and finiteness in groups. ⋮ On the exponent of the weak commutativity group \(\chi (G)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomological topics in group theory.
• Schur Multipliers of Finite Simple Groups of Lie Type
• An Exact Sequence and a Theorem of Gaschütz, Neubüser and Yen on the Multiplicator
• A Set of Generators and Relations for the Group PSL(2, Q ), q Odd
• Some Inequalities for the Multiplicator of a Finite Group. II
• The Abstract Groups R m = S m = (R i S i ) P i = 1, S m = T 2 = (S i T )2P i = 1, AND S m = T 2 = (S −i T S i T ) P i = 1

This page was built for publication: On weak permutability between groups