TY - BOOK AU - Brown,Ron TI - Frobenius groups and classical maximal orders T2 - Memoirs of the American Mathematical Society, SN - 9781470403102 (online) AV - QA3QA177 .A57 no. 717 U1 - 510 s512/.2 21 PY - 2001/// CY - Providence, R.I. PB - American Mathematical Society KW - Frobenius groups N1 - "Volume 151, number 717 (third of 5 numbers)."; Includes bibliographical references (p. 110); 1. Introduction; 2. Lemmas on truncated group rings; 3. Groups of real quaternions; 4. Proof of the classification theorem; 5. Frobenius complements with core index 1; 6. Frobenius complements with core index 4; 7. Frobenius complements with core index 12; 8. Frobenius complements with core index 24; 9. Frobenius complements with core index 60; 10. Frobenius complements with core index 120; 11. Counting Frobenius complements; 12. Maximal orders; 13. Isomorphism classes of Frobenius groups with Abelian Frobenius kernel; 14. Concrete constructions of Frobenius groups; 15. Counting Frobenius groups with Abelian Frobenius kernel; 16. Isomorphism invariants for Frobenius complements; 17. Schur indices and finite subgroups of division rings; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0717 UR - http://dx.doi.org/10.1090/memo/0717 ER -