\(2\)-adic groups and character formulas (Q1320243)

Transcription of the introduction: ``In this paper we study 2-adic groups. In the case where \(\iota\) is in the Galois group, the algebra contains only a quaternion group or is split, and when \(\iota\) 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 commutes.'' The paper is very difficult to read because notations and the text itself are not clear enough. The reviewer feels that a periodical of such a quality as J. Algebra can do better than this at the time of accepting a text for publication.