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2 edition of characterization of the Chevalley groups G2 [2 subscript] (2n) [n superscript] found in the catalog.

characterization of the Chevalley groups G2 [2 subscript] (2n) [n superscript]

Charles Gomer Thomas

characterization of the Chevalley groups G2 [2 subscript] (2n) [n superscript]

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Published by typescript in Urbana, Ill .
Written in English


Edition Notes

Thesis (Ph.D.) - University of Illinois, 1968.

Statementby Charles Gomer Thomas.
ID Numbers
Open LibraryOL19086382M

Specific character synonyms, Specific character pronunciation, Specific character translation, English dictionary definition of Specific character. a characteristic or characteristics distinguishing one species from every other species of the same genus. See also: specific.


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characterization of the Chevalley groups G2 [2 subscript] (2n) [n superscript] by Charles Gomer Thomas Download PDF EPUB FB2

THE CONJUGATE CLASSES OF CHEVALLEY GROUPS OF TYPE (G,) THEOREM (). The group G contains a subgroup of order (4 + 1)2 isomorphic to the direct product of two cyclic groups of order 4 + 1, and cyclic subgroups of orders q2 - 1, q2 + 4 + 1, and q2 - Q + 1. Size: KB.

The purpose of this paper is to point out the relevance of Goldschmidt's result to the characterization of Chevalley groups of characteristic two and rank bigger than one by their Sylow 2-subgroups.

It obviously makes sense to begin with the Chevalley groups of rank two, namely A^, 2As, ^A^, -Bg, Gg, SD^, and ^ in the Chevalley by: 2. The main aim of this characterization of the Chevalley groups G2 [2 subscript] book is to determine the structure of finite groups whose character degrees are those of G 2 (5).

Consequently, the simple group G 2 (5) satisfies Huppert's conjecture. Using the same methods as in [S2] and [S3] we derive the Brauer trees for the cyclic pblocks for G2(2k),G2(3k) and the noncyclic pblocks for these groups, where p ≠ 2,3.

A Characterization of the Simple Group L,(2) VLADIMIR C?EPULIC University of Zagreb, Croatia, Yugoslavia Communicated by B.

Huppert Received Ap 1. INTRODUCTION The purpose of this paper is to prove the following: THEOREM. Let G be aJinite simple group and H. This seminar publication provides a comprehensive approach to site characterization for subsurface remediation.

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