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We show that idempotent relations in the group ring $\\mathbb{Q}[G]$ give relations between the periodic point counts for the maps induced by $\\phi$ on the quotients of $V$ by the various subgroups of $G$. We also show that if $G$ is abelian, periodic point counts for the endomorphism on $V/G$ induc"},"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":"1705.09034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-25T03:09:04Z","cross_cats_sorted":[],"title_canon_sha256":"614c984ab79f266ca432622648f2531e834429e5a29ae9a4e36aab0f40c4ea86","abstract_canon_sha256":"730065329a275634ed71e0e12bee33007d49f602ab702f0a03e548dda90c9748"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:40.604063Z","signature_b64":"xIMK4DrYLAjjckAssRVy/nPbeDoaVi5QQuhiZ5MeY96YiWyyiSBFEq0aV6dVMeTUSwiFJRh28VlAenPYqR8aAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93ef59acc6d2451f70a0fa090789fc6db2a1d542538262bcd830e4be8765e366","last_reissued_at":"2026-05-18T00:43:40.603374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:40.603374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counting periodic points over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Laura Walton","submitted_at":"2017-05-25T03:09:04Z","abstract_excerpt":"Let $V$ be a quasiprojective variety defined over $\\mathbb{F}_q$, and let $\\phi:V\\rightarrow V$ be an endomorphism of $V$ that is also defined over $\\mathbb{F}_q$. 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