{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T05:34:03Z","timestamp":1774935243749,"version":"3.50.1"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/501100001659","name":"German Research Foundation","doi-asserted-by":"crossref","award":["286237555"],"award-info":[{"award-number":["286237555"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"crossref"}]},{"name":"UGC-SRF","award":["201610088501"],"award-info":[{"award-number":["201610088501"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2026,5]]},"abstract":"<jats:p>Let G be a finite abelian group and let n be a positive integer. In this paper, we find a formula for the number of irreducible representations of G of dimension n over a given finite field, up to equivalence. We also provide a formula for such n using the prime decomposition of the exponent of G and an algorithm to compute the irreducible degrees and their multiplicities.<\/jats:p>","DOI":"10.1142\/s0218196726500062","type":"journal-article","created":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T07:07:36Z","timestamp":1763622456000},"page":"229-235","source":"Crossref","is-referenced-by-count":0,"title":["Counting irreducible representations of a finite abelian group over a finite field"],"prefix":"10.1142","volume":"36","author":[{"given":"Thomas","family":"Breuer","sequence":"first","affiliation":[{"name":"Lehrstuhl f\u00fcr Algebra und Zahlentheorie, RWTH Aachen University, Pontdriesch 14\/16, Aachen 52062, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0563-2982","authenticated-orcid":false,"given":"Prashun","family":"Kumar","sequence":"additional","affiliation":[{"name":"Dr. B. R. Ambedkar University Delhi, Delhi 110006, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2082-4982","authenticated-orcid":false,"given":"Geetha","family":"Venkataraman","sequence":"additional","affiliation":[{"name":"Dr. B. R. Ambedkar University Delhi, Delhi 110006, India"}]}],"member":"219","published-online":{"date-parts":[[2025,12,5]]},"reference":[{"key":"S0218196726500062BIB001","first-page":"767","volume":"106","author":"Berman S. D.","year":"1956","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"S0218196726500062BIB002","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526015"},{"key":"S0218196726500062BIB003","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1950-0034758-3"},{"key":"S0218196726500062BIB004","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1964-0168665-8"},{"key":"S0218196726500062BIB005","unstructured":"The OSCAR Team, OSCAR \u2014 Open Source Computer Algebra Research System, Version 1.3.1 (2025), https:\/\/www.oscar-system.org."},{"key":"S0218196726500062BIB006","unstructured":"G. Venkataraman, Enumeration of Types of Finite Groups, DPhil Thesis, University of Oxford (1993)."},{"key":"S0218196726500062BIB007","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781316677216"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196726500062","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T03:58:28Z","timestamp":1774929508000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196726500062"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,5]]},"references-count":7,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2026,5]]}},"alternative-id":["10.1142\/S0218196726500062"],"URL":"https:\/\/doi.org\/10.1142\/s0218196726500062","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,5]]}}}