✦ LIBER ✦

2-Adic Groups and Character Formulas

✍ Scribed by K.M. Kronstein; M.S. Mazur

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 80 KB
Volume: 161
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1235

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✦ Synopsis

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

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