On The Number of Groups of Squarefree Order
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 412-420
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Let G(n) denote the number of non-isomorphic groups of order n. We prove that for squarefree integers n, there is a constant A such that where denotes the Euler function. This upper bound is essentially best possible, apart from the constant A.
Murty, M. Ram; Srinivasan, S. On The Number of Groups of Squarefree Order. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 412-420. doi: 10.4153/CMB-1987-061-x
@article{10_4153_CMB_1987_061_x,
author = {Murty, M. Ram and Srinivasan, S.},
title = {On {The} {Number} of {Groups} of {Squarefree} {Order}},
journal = {Canadian mathematical bulletin},
pages = {412--420},
year = {1987},
volume = {30},
number = {4},
doi = {10.4153/CMB-1987-061-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-061-x/}
}
TY - JOUR AU - Murty, M. Ram AU - Srinivasan, S. TI - On The Number of Groups of Squarefree Order JO - Canadian mathematical bulletin PY - 1987 SP - 412 EP - 420 VL - 30 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-061-x/ DO - 10.4153/CMB-1987-061-x ID - 10_4153_CMB_1987_061_x ER -
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