The Schur multiplier of a pair of groups

DOI10.1023/A:1008652316165zbMath0948.20026OpenAlexW131336340WikidataQ56456885 ScholiaQ56456885MaRDI QIDQ1273641

Graham J. Ellis

Publication date: 20 November 2000

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008652316165

zbMATH Keywords

Schur multiplierspairs of groupsclassifying spaces of groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Central extensions and Schur multipliers (19C09)

Related Items (37)

Some properties on the Schur multiplier of a pair of groups. ⋮ A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ The commutator subgroup of a pair of groups ⋮ Some inequalities for the Baer-invariant of a pair of finite groups. ⋮ On the triple tensor products of groups of order p⁴ ⋮ Unnamed Item ⋮ The exterior degree of a pair of finite groups. ⋮ Isoclinism of pairs of Lie rings ⋮ Some properties of the \(c\)-nilpotent multiplier of a pair of Lie algebras ⋮ Unnamed Item ⋮ Probabilistic properties of the relative tensor degree of finite groups. ⋮ Some Inequalities for the Order of the Schur Multiplier of a Pair of Groups ⋮ Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebras ⋮ On the structure of groups whose exterior or tensor square is a \(p\)-group. ⋮ Schur multiplier and (residual) nilpotent Lie rings ⋮ Relative Schur multipliers and universal extensions of group homomorphisms ⋮ On the dimension of the Schur \(\mathsf{Lie}\)-multiplier of a pair of Leibniz algebras ⋮ The Schur multiplier of pairs of groups of order \(p^2 q\) ⋮ Some properties of c-covers of a pair of Lie algebras ⋮ Some results on stem covers of crossed modules ⋮ SOME PROPERTIES ON THE SCHUR MULTIPLIER OF A PAIR OF LIE ALGEBRAS ⋮ On the relation between upper central quotients and lower central series of a group ⋮ Some results on the \(c\)-nilpotent multiplier of a pair of Lie algebras ⋮ Capability and Schur multiplier of a pair of Lie algebras ⋮ BOUNDS FOR THE DIMENSION OF THE SCHUR MULTIPLIER OF A PAIR OF NILPOTENT LIE ALGEBRAS ⋮ The exponents of nonabelian tensor products of groups. ⋮ On the second homology of crossed modules ⋮ On Baer invariants of pairs of groups ⋮ Unnamed Item ⋮ Group extensions and marginal series of pair of groups ⋮ Unnamed Item ⋮ On c-nilpotent multiplier and c-covers of a pair of Lie algebras ⋮ Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal ⋮ The commutator subgroup and Schur multiplier of a pair of finite p-groups ⋮ ON THE EXPONENT OF THE SCHUR MULTIPLIER OF A PAIR OF FINITE p-GROUPS ⋮ On multipliers of pairs of Lie superalgebras ⋮ ON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS

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