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Moreover P splits uniquely as a direct sum of edges of Roquette p-groups. In this note, I would like to describe a fast algorithm to obtain such a decomposition, when p is odd. ref: [9] The Roquette category of finite p-groups, J.E.M.S (to appear)"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.6092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-03-24T19:18:42Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"15d1b0a2f14372a384c1a66990bdd118d004c4ba40099b4f61d68d9907ccdde4","abstract_canon_sha256":"35084a2a2d551cdc740cbc6f3173a7b2cd99058095a858e5a1b9df5ef3101cb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:46.914296Z","signature_b64":"UazOLxJYkzwHtsj2JcpYK8DdapYciFK5diQKySrNk1vaCwQL8qnrg9KntKZUw8g/WT1OWxltJFd60vn97rWYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5bb9eff432892620f40df50fe5e5f6ebe075972dc3c39c808ec2ab63e4f13ba","last_reissued_at":"2026-05-18T02:55:46.913528Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:46.913528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fast decomposition of p-groups in the Roquette category, for p>2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.GR","authors_text":"Serge Bouc (LAMFA)","submitted_at":"2014-03-24T19:18:42Z","abstract_excerpt":"Let p be a prime number. 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