Abstract
We give a constructive description of nonnilpotent biprimary dispersible groups with metacyclic subgroups of nonprimary index and classify them into 21 types.
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References
S. N. Chernikov, “Investigation of groups with given properties of subgroups,” Ukr. Mat. Zh., 21, No. 2, 193–200 (1969).
A. V. Sidorov, “Finite groups with formation subgroups of nonprimary indices,” Vopr. Alg., 3, 48–56 (1987).
V. S. Monakhov, “Finite groups with supersolvable subgroups of nonprimary index,” in: Infinite Groups and Related Algebraic Structures [in Russian], Institute of Mathematics, Ukrainian Academy, of Science, Kiev (1993), pp. 195–209.
N. Blackburn, “Generalization of certain elementary theorems on p-groups,” Proc. London Math. Soc., 11, No. 41, 1–22 (1961).
M. Cursio, “Classification of finite minimal non-metacyclic groups,” Acta Soc. Mat., 47, No. 3-4, 289–295 (1984).
S. S. Levishchenko, N. F. Kuzennyi, and N. N. Semko, Constructive Description of Finite Minimal Nonmetacyclic Groups [in Russian], Dep. Ukr. NIINTI 04.01.87, No. 33-Uk87, Kiev (1987).
Additional information
Volyn University, Lutsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 849–851, June, 1997.
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Zuzuk, L.I. Construction of nonnilpotent biprimary dispersible groups with metacyclic subgroups of nonprimary index. Ukr Math J 49, 950–952 (1997). https://doi.org/10.1007/BF02513436
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DOI: https://doi.org/10.1007/BF02513436