Pith Number

pith:CFMQNHGK

pith:2026:CFMQNHGKQJEF53R3AS36GFO5BB

not attested not anchored not stored refs pending

Kernel of Scott modules and Brauer indecomposability

Lin Wu

The kernel of a Scott kG-module determines its Brauer indecomposability via a generalized criterion, and this property lifts from p-local subgroups in certain cases.

arxiv:2605.05757 v2 · 2026-05-07 · math.RT

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We generalize a criterion for Brauer indecomposability. We also prove that, in certain cases, Brauer indecomposability of a Scott kG-module can be lifted from that of a Scott module over a p-local subgroup.

C2weakest assumption

The lifting holds only 'in certain cases' whose precise hypotheses are not stated in the abstract; the criterion generalization likewise depends on unspecified conditions on the kernel or on the group structure.

C3one line summary

The work generalizes a criterion for Brauer indecomposability of Scott kG-modules and establishes lifting of this property from p-local subgroups in specified cases.

Receipt and verification

First computed	2026-05-20T00:05:46.142377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1159069cca82485eee3b04b7e315dd084c56965c682332f66e210bfa0e6c2bb5

Aliases

arxiv: 2605.05757 · arxiv_version: 2605.05757v2 · doi: 10.48550/arxiv.2605.05757 · pith_short_12: CFMQNHGKQJEF · pith_short_16: CFMQNHGKQJEF53R3 · pith_short_8: CFMQNHGK

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CFMQNHGKQJEF53R3AS36GFO5BB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1159069cca82485eee3b04b7e315dd084c56965c682332f66e210bfa0e6c2bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e939e10cccd2c7e4f33b014ce0d46eef1d3b7b799ff58de906aeb3507974a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-07T06:53:03Z",
    "title_canon_sha256": "78c3234a7a56887b84bb710d5571a7af3161032bf840624ab84d82cfe4c84d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05757",
    "kind": "arxiv",
    "version": 2
  }
}