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Robinson, Derek J. S.. (1400). On infinite groups whose finite quotients have restricted prime divisors. , 10(2), 75-88. doi: 10.22108/ijgt.2020.119054.1569
Derek J. S. Robinson. "On infinite groups whose finite quotients have restricted prime divisors". , 10, 2, 1400, 75-88. doi: 10.22108/ijgt.2020.119054.1569
Robinson, Derek J. S.. (1400). 'On infinite groups whose finite quotients have restricted prime divisors', , 10(2), pp. 75-88. doi: 10.22108/ijgt.2020.119054.1569
Robinson, Derek J. S.. On infinite groups whose finite quotients have restricted prime divisors. , 1400; 10(2): 75-88. doi: 10.22108/ijgt.2020.119054.1569

On infinite groups whose finite quotients have restricted prime divisors

International Journal of Group Theory
مقاله 9، دوره 10، شماره 2، شهریور 2021، صفحه 75-88    اصل مقاله (237.7 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2020.119054.1569
نویسنده
Derek J. S. Robinson*
Department of Mathematics, University of Illinois at Urbana-Champaign Urbana, IL, 61801, USA.
چکیده
‎The effect of restricting the set of primes dividing the orders of the finite quotients of a group is investigated‎. ‎Particular attention is paid to abelian‎, ‎soluble‎, ‎locally soluble and locally finite groups‎. ‎The connection with the extraction of roots is explored‎.
کلیدواژه‌ها
‎Finite quotients‎؛ ‎Prime divisors
مراجع
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[2] V. V. Belyaev, Locally finite groups with Cernikov Sylow  p-subgroups, Algebra i Logika, 20 (1981) 605–619.

[3] V. S. Carin, On groups of automorphisms of nilpotent groups, Ukrain. Mat. Z., 6 (1954) 295–304.

[4] S. N. Cernikov, Complete groups possessing ascending central series, Mat. Sb., 18 (1946) 397–421.

[5] S. N. Cernikov, On the theory of complete groups, Mat. Sbornik N. S., 22 (1948) 319–348, English transl, Amer.
Math. Soc., Translations 1(56) (1951) 3–49.

[6] M. R. Dixon, Sylow Theory, Formations and Fitting Classes in Locally Finite Groups, Series in Algebra, 2, World
Scientific Publishing Co., Singapore 1994.

[7] S. Friedenberg and P. Wolf, A brief journey through extensions of rational groups, Rend. Sem. Mat. Univ. Padova,
140 (2018) 123–128.

[8] L. Fuchs, Infinite Abelian Groups, vol. 2, Academic Press, New York, NY, 1970-73.

[9] J. C. Lennox and D. J. S. Robinson, The Theory of Infinite Soluble Groups, Clarendon Press, Oxford, 2004.

[10] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups, vol. 2, Springer Verlag, Berlin, 1972. 

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