An infinite group with subgroups of prime orders
Izvestiya. Mathematics , Tome 16 (1981) no. 2, pp. 279-289
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An infinite nonabelian group all of whose proper subgroups have prime order is constructed. This solves a problem of O. Yu. Schmidt. The proof involves modifying and extending the series of lemmas in an earlier paper of the author.
Bibliography: 3 titles.
@article{IM2_1981_16_2_a3,
author = {A. Yu. Ol'shanskii},
title = {An infinite group with subgroups of prime orders},
journal = {Izvestiya. Mathematics },
pages = {279--289},
publisher = {mathdoc},
volume = {16},
number = {2},
year = {1981},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1981_16_2_a3/}
}
A. Yu. Ol'shanskii. An infinite group with subgroups of prime orders. Izvestiya. Mathematics , Tome 16 (1981) no. 2, pp. 279-289. http://geodesic.mathdoc.fr/item/IM2_1981_16_2_a3/