Non-Abelian representations of some sporadic geometries

A.A. Ivanov; D. Pasechnik; S.V. Shpectorov

doi:10.1006/jabr.1996.0132

Non-Abelian representations of some sporadic geometries

A.A. Ivanov, D. Pasechnik, S.V. Shpectorov

Research output: Contribution to journal › Article › Academic › peer-review

16 Citations (Scopus)

Abstract

For a point-line incidence system =(P, L) with three points per line we define the universal representation group of as[formula]We prove that if is the 2-local parabolic geometry of the sporadic simple groupF1(the Monster) orF2(the Baby Monster) thenR( )F1or 2·F2, respectively.

Original language	English
Pages (from-to)	523-557
Number of pages	35
Journal	Journal of Algebra
Volume	181
Issue number	2
DOIs	https://doi.org/10.1006/jabr.1996.0132
Publication status	Published - 1996

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10.1006/jabr.1996.0132

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title = "Non-Abelian representations of some sporadic geometries",

abstract = "For a point-line incidence system =(P, L) with three points per line we define the universal representation group of as[formula]We prove that if is the 2-local parabolic geometry of the sporadic simple groupF1(the Monster) orF2(the Baby Monster) thenR( )F1or 2·F2, respectively.",

author = "A.A. Ivanov and D. Pasechnik and S.V. Shpectorov",

year = "1996",

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T1 - Non-Abelian representations of some sporadic geometries

AU - Ivanov, A.A.

AU - Pasechnik, D.

AU - Shpectorov, S.V.

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AB - For a point-line incidence system =(P, L) with three points per line we define the universal representation group of as[formula]We prove that if is the 2-local parabolic geometry of the sporadic simple groupF1(the Monster) orF2(the Baby Monster) thenR( )F1or 2·F2, respectively.

U2 - 10.1006/jabr.1996.0132

DO - 10.1006/jabr.1996.0132

M3 - Article

SN - 0021-8693

VL - 181

SP - 523

EP - 557

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Non-Abelian representations of some sporadic geometries

Abstract

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