(2,m,n)-groups with Euler characteristic equal to -2^as^b

Nick Gill

(2,m,n)-groups with Euler characteristic equal to -2^as^b

Nick Gill

Faculty of Computing, Engineering and Science

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

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Abstract

We study those $(2,m,n)$-groups which are almost simple and for which the absolute value of the Euler characteristic is a product of two prime powers. All such groups which are not isomorphic to $PSL_2(q)$ or $PGL_2(q)$ are completely classified.

Original language	English
Article number	R8
Journal	The Electronic Journal of Combinatorics
Volume	20
Issue number	3
Publication status	Published - 2013

Keywords

math.GR
math.CO
20F05 (primary), 20D05, 05C10

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title = "(2,m,n)-groups with Euler characteristic equal to -2^as^b",

abstract = "We study those $(2,m,n)$-groups which are almost simple and for which the absolute value of the Euler characteristic is a product of two prime powers. All such groups which are not isomorphic to $PSL_2(q)$ or $PGL_2(q)$ are completely classified.",

keywords = "math.GR, math.CO, 20F05 (primary), 20D05, 05C10",

author = "Nick Gill",

note = "28 pages. This paper proves a result that was announced in the paper arXiv:1203.0138",

year = "2013",

language = "English",

volume = "20",

journal = "The Electronic Journal of Combinatorics",

issn = "1077-8926",

publisher = "Electronic Journal of Combinatorics",

number = "3",

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T1 - (2,m,n)-groups with Euler characteristic equal to -2^as^b

AU - Gill, Nick

N1 - 28 pages. This paper proves a result that was announced in the paper arXiv:1203.0138

PY - 2013

Y1 - 2013

N2 - We study those $(2,m,n)$-groups which are almost simple and for which the absolute value of the Euler characteristic is a product of two prime powers. All such groups which are not isomorphic to $PSL_2(q)$ or $PGL_2(q)$ are completely classified.

AB - We study those $(2,m,n)$-groups which are almost simple and for which the absolute value of the Euler characteristic is a product of two prime powers. All such groups which are not isomorphic to $PSL_2(q)$ or $PGL_2(q)$ are completely classified.

KW - math.GR

KW - math.CO

KW - 20F05 (primary), 20D05, 05C10

M3 - Article

SN - 1077-8926

VL - 20

JO - The Electronic Journal of Combinatorics

JF - The Electronic Journal of Combinatorics

IS - 3

M1 - R8

ER -

(2,m,n)-groups with Euler characteristic equal to -2^as^b

Abstract

Keywords

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