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Central elements in core-free groups. (English) Zbl 0145.02802

Keywords:
group theory
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References:
[1] Brauer, R.: Some applications of the theory of blocks of characters of finite groups. I. J. alg. 1, 152-167 (1964) · Zbl 0214.28101
[2] Brauer, R.: Some applications of the theory of blocks of characters of finite groups. II. J. alg. 1, 307-334 (1964) · Zbl 0214.28102
[3] Brauer, R.: Investigations on groups of even order. II. Proc. natl. Acad. sci. 55, 254-259 (1966) · Zbl 0133.28402
[4] Brauer, R.; Suzuki, M.: On finite groups of even order whose 2-Sylow group is a quaternion group. Proc. natl. Acad. sci. 45, 1757-1759 (1959) · Zbl 0090.01901
[5] Curtis, C. W.; Reiner, I.: Representation theory of finite groups and associative algebras. (1962) · Zbl 0131.25601
[6] Feit, W.; Thompson, J. G.: Solvability of groups of odd order. Pacific J. Math. 13, 775-1029 (1963) · Zbl 0124.26402
[7] Fischer, B.: Distributive quasigruppen endlicher ordnung. Math. Z. 83, 267-303 (1964) · Zbl 0119.26201
[8] Glauberman, G.: Fixed points in groups with operator groups. Math. Z. 84, 120-125 (1964) · Zbl 0123.02601
[9] Glauberman, G.: On loops of odd order. J. algebra 1, 374-396 (1964) · Zbl 0123.01502
[10] Hall, M.: The theory of groups. (1959) · Zbl 0084.02202
[11] Iizuka, K.: On Brauer’s theorem on sections in the theory of group characters. Math. Z. 75, 299-304 (1961) · Zbl 0096.01901
[12] Kovács, L. G.; Newman, M. F.: Direct complementation in groups with operators. Archiv. math. 13, 427-433 (1962) · Zbl 0111.24304