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Compute the entire INTEGRAL second homology H_2(G,Z), the Schur multiplier, of o...

https://datenvertrag.halowerk.com/v1/finite-group-integral-schur-multiplier

Overview

Compute the entire INTEGRAL second homology H_2(G,Z), the Schur multiplier, of one finite group Cayleytable order1..9,identity0. Return its canonical invariant factors d1|...|dr (each>1), exact order/exponent, and ranks of the normalized integral bar-chain groups C1,C2,C3 and integer boundary maps overQ. For nonidentity tuples d2[g|h]=[h]-[gh]+[g],d3[g|h|k]=[h|k]-[gh|k]+[g|hk]-[g|h], terms containing identity0 are zero.

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Source bazaar
Indexed 2026-11-09 21:08:17

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Input Schema

{ "body": { "claim": null, "table": [ [ 0, 1, 2, 3 ], [ 1, 0, 3, 2 ], [ 2, 3, 0, 1 ], [ 3, 2, 1, 0 ] ] }, "bodyType": "json", "method": "POST", "type": "http" }