Of planar Eulerian graphs and permutations

Author:
Gadi Moran

Journal:
Trans. Amer. Math. Soc. **287** (1985), 323-341

MSC:
Primary 05C25; Secondary 05C10, 05C45, 20B07, 20B22, 57M25

DOI:
https://doi.org/10.1090/S0002-9947-1985-0766222-1

MathSciNet review:
766222

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Abstract | References | Similar Articles | Additional Information

Abstract: Infinite planar Eulerian graphs are used to show that for the covering number of the infinite simple group is two.

Here denotes the group of all permutations of a set of cardinality denotes its subgroup consisting of the permutations moving less than elements, and the covering number of a (simple) group is the smallest positive integer satisfying for every nonunit conjugacy class in .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1985-0766222-1

Article copyright:
© Copyright 1985
American Mathematical Society