Counting group elements of order $p$ modulo $p^{2}$
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- by Marcel Herzog PDF
- Proc. Amer. Math. Soc. 66 (1977), 247-250 Request permission
Abstract:
Let G be a finite group of order divisible by the prime p. It is shown that the number of elements of G of order p is congruent to $- 1$ modulo ${p^2}$, unless a Sylow p-subgroup of G is cyclic, generalized quaternion, dihedral or quasidihedral.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 66 (1977), 247-250
- MSC: Primary 20D99
- DOI: https://doi.org/10.1090/S0002-9939-1977-0466316-5
- MathSciNet review: 0466316