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Zariski dense subgroups of arithmetic groups

✍ Scribed by T.N Venkataramana


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
786 KB
Volume
108
Category
Article
ISSN
0021-8693

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A finite subset A of a group is a near subgroup if the number of ordered pairs (x, y) e A 2 with xy ~ A is at most I A [. We show here that if I A I >/5, then A is a near subgroup if and only if A w {g} is a subgroup for some group element g. We also classify the counterexamples if LAI~< 4.