Non-abelian representations of some sporadic geometries

Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/87919

Title:	Non-abelian representations of some sporadic geometries
Authors:	Ivanov, Alexander A. Pasechnik, Dmitrii V. Shpectorov, Sergey V.
Issue Date:	1996
Source:	Ivanov, A. A., Pasechnik, D. V., & Shpectorov, S. V. (1996). Non-Abelian Representations of Some Sporadic Geometries. Journal of Algebra, 181(2), 523-557.
Series/Report no.:	Journal of algebra
Abstract:	For a point-line incidence system S =(P, L) with three points per line we define the universal representation group of S asR(S)= 〈zp, p∈P\|zp^2=1 for p∈P,zp zq zr = 1 for {p,q,r} ∈ L〉We prove that if G is the 2-local parabolic geometry of the sporadic simple group F1(the Monster) or F2(the Baby Monster) thenR(G)≅F1or 2·F2, respectively.
URI:	https://hdl.handle.net/10356/87919 http://hdl.handle.net/10220/9446
ISSN:	0021-8693
DOI:	10.1006/jabr.1996.0132
Schools:	School of Physical and Mathematical Sciences
Rights:	© 1996 Academic Press, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Algebra, Academic Press, Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1006/jabr.1996.0132].
Fulltext Permission:	open
Fulltext Availability:	With Fulltext
Appears in Collections:	SPMS Journal Articles

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