Titlebook: Geometries and Groups; Proceedings of the W M. Aschbacher,A. M. Cohen,W. M. Kantor Conference proceedings 1988 D. Reidel Publishing Company

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Ehrlichkeit im Budgetierungsprozess,We survey some recent results on maximal subgroups of the finite simple groups. In particular, we describe progress on several of the problems raised by Aschbacher in [3].

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https://doi.org/10.1007/978-1-4899-0200-9Let 픽 be a field and let 핂 be the vector space of dimension 27 over 픽 whose elements are the triples . = [.., .., ..] with .. ∈ ..(픽), the set of 3 × 3-matrices with entries in 픽, for . = 1,2,3, with addition and scalar multiplication taken entrywise.

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油毡

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A Characterization of Point-Line Geometries for Finite BuildingsWe present an axiomsystem for almost (all) point-line geometries associated to finite buildings (where the j-varieties, for certain j, are called points) containing a polar subspace of rank at least three (see list in addition), and we develop methods of construction to attain that goal.

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假

Geometric Sets of PermutationsThere has been some interest recently in analogues of designs, codes and geometries, in the setting of the symmetric group. The geometries described here, called .., are analogous to matroids, and belong to a linear diagram in which all strokes except the last are linear spaces, while the last consists of the rank 2 permutation geometries.

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Geometric Techniques in Representation TheoryA discussion of results and conjectures, focussed around the extension of the modula representation theory for finite Lie-type groups to more general groups that act on building like geometries.

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Constant

The 2-spaces of the standard ,,(,)-moduleLet 픽 be a field and let 핂 be the vector space of dimension 27 over 픽 whose elements are the triples . = [.., .., ..] with .. ∈ ..(픽), the set of 3 × 3-matrices with entries in 픽, for . = 1,2,3, with addition and scalar multiplication taken entrywise.