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Narain, Shiv

A note on NAF-groups. (English) Zbl 1499.20079

JP J. Algebra Number Theory Appl. 51, No. 1, 49-54 (2021).

MSC:

20E34 General structure theorems for groups
20E07 Subgroup theorems; subgroup growth
20E15 Chains and lattices of subgroups, subnormal subgroups

Keywords:

\(\mathrm{Frat}(G)\); NAF-groups; \(nS\)-groups; supplement; \(aS\)-groups
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References:

[1] Bauman Steven, Subgroups with trivial maximal intersection, Illinois J. Math. 21 (1977), 568-574. · Zbl 0561.20019
[2] P. Hall, Complemented groups, J. Lond. Math. Soc. 12 (1937), 201-204. · Zbl 0016.39301
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[4] L. C. Kappe and J. Kirtland, Supplementation in groups, Glasgow Math J. 42 (2000), 225-234. · Zbl 0945.20016
[5] L. C. Kappe and J. Kirtland, Finite groups with trivial Frattini subgroup, Arch. Math. (Basel) 80 (2003), 225-234. · Zbl 1033.20017
[6] G. A. Malan’ina, Groups with a noncomplemented subgroup, INA Finite Groups and Related Algebraic Structures, 1993, pp. 188-194.
[7] D. J. S. Robinson, A Course in the Theory of Groups, 2nd ed., Springer-Verlag, New York, 1982. · Zbl 0483.20001
[8] V. N. Tyutyanov and P. V. Bychkov, Finite groups with two non complemented subgroups, Math. Notes 85(4) (2009), 597-601. · Zbl 1178.20019
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