“School of Mathematics”
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| Paper IPM / M / 2341 | ||||||||||||||||||||||||
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For any group G1 πe (G) denotes the set of orders of its
elements. If Ω is a subset of positive integers,
h(Ω) stands for the number of distinct isomorphism classes
of finite groups G such that πe (G) = Ω, Let Ω = πe (PGL (2, p )), where p is a prime number and 5 ≤ p < 100 . In this paper, we prove that h (Ω) ∈ { 1, ∞} .
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