Of planar eulerian graphs and permutations

Gadi Moran

doi:10.1090/S0002-9947-1985-0766222-1

Of planar eulerian graphs and permutations

Gadi Moran

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

Abstract

Infinite planar Eulerian graphs are used to show that for v > 0 the covering number of the infinite simple group Hv = S/S^v is two. Here S denotes the group of all permutations of a set of cardinality S„, S^v denotes its subgroup consisting of the permutations moving less than elements, and the covering number of a (simple) group G is the smallest positive integer n satisfying Cⁿ = G for every nonunit conjugacy class C in G.

Original language	English
Pages (from-to)	323-341
Number of pages	19
Journal	Transactions of the American Mathematical Society
Volume	287
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1985-0766222-1
State	Published - Jan 1985
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1985-0766222-1

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abstract = "Infinite planar Eulerian graphs are used to show that for v > 0 the covering number of the infinite simple group Hv = S/Sv is two. Here S denotes the group of all permutations of a set of cardinality S„, Sv denotes its subgroup consisting of the permutations moving less than elements, and the covering number of a (simple) group G is the smallest positive integer n satisfying Cn = G for every nonunit conjugacy class C in G.",

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AB - Infinite planar Eulerian graphs are used to show that for v > 0 the covering number of the infinite simple group Hv = S/Sv is two. Here S denotes the group of all permutations of a set of cardinality S„, Sv denotes its subgroup consisting of the permutations moving less than elements, and the covering number of a (simple) group G is the smallest positive integer n satisfying Cn = G for every nonunit conjugacy class C in G.

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Of planar eulerian graphs and permutations

Abstract

ASJC Scopus subject areas

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