English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In [4], Gorenstein and Lyons reduced part of the classification problem for finite simple groups of characteristic 2 type to the solution of certain standard form problems for odd primes. One such problem was to find simple groups with a standard 3-component of type GL(n, 2), n > 6, subject to a few side conditions. This problem was solved by Finkelstein and Frohardt in [1]. The purpose of this paper is to simplify the treatment given there. In particular, the last four sections of [1] can be replaced by the argument here by using results of Timmesfeld [7] and Smith [5] on groups with large extraspecial subgroups. These results are used elsewhere in the developing characterization of finite simple groups of characteristic 2 type, so the present paper might be incorporated into a shorter overall treatment of such groups. Gorenstein and Lyons use a similar approach in ?8 of [4] to eliminate certain sporadic standard form problems, but their argument is different from ours. To state the main result of this paper, recall the notation of [1]. Let L GL(n, 2), n > 6, and let , r = [n/2], be an elementary abelhan 3-subgroup of L or r such that each b, belongs to a natural GL(2, 2) subgroup of L. The main theorem here is the following.

From a 3-local plus 3-fusion to the centralizer of an involution