2-Coverings for exceptional and sporadic simple groups

Marco Antonio Pellegrini

doi:10.1007/s00013-013-0562-8

2-Coverings for exceptional and sporadic simple groups

Marco Antonio Pellegrini

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

4 Citations (Scopus)

Abstract

In this paper we prove that if G is a finite exceptional simple group of Lie type, then G admits a 2-covering if, and only if, it is one of the following groups: G_2(2^a), F_4(3^a), G_2(2)', 3G_2(3)', 2F_4(2)'. Furthermore, if G is a finite sporadic simple group, then G admits a 2-covering if, and only if, G = M_11.

Original language	English
Pages (from-to)	201-206
Number of pages	6
Journal	Archiv der Mathematik
Volume	101
DOIs	https://doi.org/10.1007/s00013-013-0562-8
Publication status	Published - 2013

Keywords

Coverings
Finite simple groups
Maximal subgroups

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10.1007/s00013-013-0562-8

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title = "2-Coverings for exceptional and sporadic simple groups",

abstract = "In this paper we prove that if G is a finite exceptional simple group of Lie type, then G admits a 2-covering if, and only if, it is one of the following groups: G\_2(2\textasciicircum{}a), F\_4(3\textasciicircum{}a), G\_2(2)', 3G\_2(3)', 2F\_4(2)'. Furthermore, if G is a finite sporadic simple group, then G admits a 2-covering if, and only if, G = M\_11.",

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AU - Pellegrini, Marco Antonio

PY - 2013

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N2 - In this paper we prove that if G is a finite exceptional simple group of Lie type, then G admits a 2-covering if, and only if, it is one of the following groups: G_2(2^a), F_4(3^a), G_2(2)', 3G_2(3)', 2F_4(2)'. Furthermore, if G is a finite sporadic simple group, then G admits a 2-covering if, and only if, G = M_11.

AB - In this paper we prove that if G is a finite exceptional simple group of Lie type, then G admits a 2-covering if, and only if, it is one of the following groups: G_2(2^a), F_4(3^a), G_2(2)', 3G_2(3)', 2F_4(2)'. Furthermore, if G is a finite sporadic simple group, then G admits a 2-covering if, and only if, G = M_11.

KW - Coverings

KW - Finite simple groups

KW - Maximal subgroups

KW - Coverings

KW - Finite simple groups

KW - Maximal subgroups

UR - http://hdl.handle.net/10807/55564

U2 - 10.1007/s00013-013-0562-8

DO - 10.1007/s00013-013-0562-8

M3 - Article

SN - 0003-889X

VL - 101

SP - 201

EP - 206

JO - Archiv der Mathematik

JF - Archiv der Mathematik

ER -

2-Coverings for exceptional and sporadic simple groups

Abstract

Keywords

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