CONGRUENCE AND NON-CONGRUENCE SUBGROUPS OF THE (2,3,7)-GROUP
Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 351-363
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Let $\Delta$ denote the (2,3,7)-group. We establish an upper bound for the number of congruence subgroups of index $n$ and a lower bound for the total number of subgroups of index $n$. Since the latter grows more quickly, there exist non-congruence subgroups of index $n$ for all $n$ greater than some $n_0$.
STOTHERS, W. W. CONGRUENCE AND NON-CONGRUENCE SUBGROUPS OF THE (2,3,7)-GROUP. Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 351-363. doi: 10.1017/S0017089506003223
@article{10_1017_S0017089506003223,
author = {STOTHERS, W. W.},
title = {CONGRUENCE {AND} {NON-CONGRUENCE} {SUBGROUPS} {OF} {THE} {(2,3,7)-GROUP}},
journal = {Glasgow mathematical journal},
pages = {351--363},
year = {2006},
volume = {48},
number = {3},
doi = {10.1017/S0017089506003223},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003223/}
}
TY - JOUR AU - STOTHERS, W. W. TI - CONGRUENCE AND NON-CONGRUENCE SUBGROUPS OF THE (2,3,7)-GROUP JO - Glasgow mathematical journal PY - 2006 SP - 351 EP - 363 VL - 48 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003223/ DO - 10.1017/S0017089506003223 ID - 10_1017_S0017089506003223 ER -
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