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Karl M. Kronstein Department of Mathematics, Unitersity of Notre Dame, Notre Dame, Indiana 46556 AND Mark S. Mazur Departmem of Mathematics and Computer Science, Duquesne University, Pittshurgh, Pennsyhania 15282 Communicated by walter Feit Received February 15, 1985 ## INTRODUCTION In this paper we study 2-adic groups. In the case where 1 is in the Galois group, the algebra contains only a quaternion group or is split, and when \(t\) is not in the Galois group, the algebra simply splits. In the end, this paper presents a character criterion for 2 -adic splitting. Among the techniques we use are inflation (inf) and deflation (def) in order to determine the order of the commutator, and inf always so the commutator maps onto the old roots of unity. When this happens, we form a new factor set which

Who reads 2-Adic Groups and Character Formulas?

Author

K.M. Kronstein; M.S. Mazur

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)

Published

1993

Field

Mathematics (Physical Sciences)