Generalized perfect isometries in some groups of Lie rank one

Jean-Baptiste Gramain

doi:10.1016/j.jalgebra.2005.09.020

Generalized perfect isometries in some groups of Lie rank one

Jean-Baptiste Gramain

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

4 Citations (Scopus)

Abstract

In a recent paper, B. Kulshammer, J.B. Olsson and G.R. Robinson introduced notions of generalized blocks and generalized perfect isometries, and studied them in the case of the symmetric group S,. It is the purpose of this paper to investigate some families of groups of Lie rank one, exhibiting generalized perfect isometries where there are none in the sense given by M. Broue, and thus proving a (weaker) analogue of one of Broues conjectures in these cases. (c) 2005 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	820-840
Number of pages	21
Journal	Journal of Algebra
Volume	299
DOIs	https://doi.org/10.1016/j.jalgebra.2005.09.020
Publication status	Published - May 2006

Keywords

Suzuki groups
blocks

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10.1016/j.jalgebra.2005.09.020

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abstract = "In a recent paper, B. Kulshammer, J.B. Olsson and G.R. Robinson introduced notions of generalized blocks and generalized perfect isometries, and studied them in the case of the symmetric group S,. It is the purpose of this paper to investigate some families of groups of Lie rank one, exhibiting generalized perfect isometries where there are none in the sense given by M. Broue, and thus proving a (weaker) analogue of one of Broues conjectures in these cases. (c) 2005 Elsevier Inc. All rights reserved.",

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AB - In a recent paper, B. Kulshammer, J.B. Olsson and G.R. Robinson introduced notions of generalized blocks and generalized perfect isometries, and studied them in the case of the symmetric group S,. It is the purpose of this paper to investigate some families of groups of Lie rank one, exhibiting generalized perfect isometries where there are none in the sense given by M. Broue, and thus proving a (weaker) analogue of one of Broues conjectures in these cases. (c) 2005 Elsevier Inc. All rights reserved.

KW - Suzuki groups

KW - blocks

U2 - 10.1016/j.jalgebra.2005.09.020

DO - 10.1016/j.jalgebra.2005.09.020

M3 - Article

SN - 0021-8693

VL - 299

SP - 820

EP - 840

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Generalized perfect isometries in some groups of Lie rank one

Abstract

Keywords

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