# zbMATH — the first resource for mathematics

Nonsolvable finite groups all of whose 2-local subgroups are solvable. I. (English) Zbl 0243.20013

##### MSC:
 20D99 Abstract finite groups 20D25 Special subgroups (Frattini, Fitting, etc.) 20D35 Subnormal subgroups of abstract finite groups 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, $$\pi$$-length, ranks 20D05 Finite simple groups and their classification
Full Text:
##### References:
 [1] \scH. Bender, Finite groups having a strongly embedded subgroup, to appear. · Zbl 0192.35502 [2] Brauer, R; Suzuki, M, On finite groups of even order whose 2-Sylow group is a quaternion group, (), 1757-1759 · Zbl 0090.01901 [3] Feit, W; Thompson, J.G, Solvability of groups of odd order, Pacific J. math., 13, 775-1029, (1963) · Zbl 0124.26402 [4] \scD. Gorenstein, On finite simple groups of characteristic 2 type, to appear. · Zbl 0182.35402 [5] Gorenstein, D, Finite groups, (1968), Harper & Row New York · Zbl 0185.05701 [6] Gorenstein, D, Oxford lectures, (1969) [7] Janko, Z; Thompson, J.G, On finite simple groups whose Sylow 2-subgroups have no normal elementary subgroups of order 8, Math. Z., 113, 385-397, (1970) [8] Neumann, B.H, Groups with automorphisms that leave only the neutral element fixed, Arch. math., 7, 1-5, (1956) · Zbl 0070.02203 [9] \scD. A. Parrott, A characterization of the Tits simple group, to appear. · Zbl 0241.20014 [10] Sims, C, Graphs and finite permutation groups, Math. Z., 95, 76-86, (1967) · Zbl 0244.20001 [11] Suzuki, M, Finite groups in which the centralizer of any element of order 2 is 2-closed, Ann. of math., 82, 191-212, (1965), (2) · Zbl 0132.01704 [12] \scG. C. Thomas, A characterization of the groups G2(2n), J. Algebra, to appear. [13] Thompson, J.G, Normal p-complements for finite groups, Math. Z., 72, 332-354, (1960) · Zbl 0098.02003 [14] Thompson, J.G, Nonsolvable finite groups all of whose local subgroups are solvable, Bull. amer. math. soc., 74, 383-437, (1968) · Zbl 0159.30804 [15] \scJ. G. Thompson, Nonsolvable finite groups all of whose local subgroups are solvable, to appear. · Zbl 0159.30804 [16] Thompson, J.G, Factorizations of p-solvable groups, Pacific J. math., 2, 371-372, (1966), (16) · Zbl 0136.28502 [17] Tits, J, Algebraic and abstract simple groups, Ann. of math., 80, 313-329, (1964) · Zbl 0131.26501 [18] Walter, J.H, The characterization of finite groups with abelian Sylow 2-subgroups, Ann. of math., 89, 405-514, (1969) · Zbl 0184.04605 [19] Wielandt, H, Über produkte von nilpotenten gruppen, Illinois J. math., 2, 611-618, (1958) · Zbl 0084.02904 [20] Wielandt, H, Sylowgruppen und kompositions-struktur, (), 215-228 · Zbl 0168.27103 [21] Wong, W.J, Determination of a class of primitive permutation groups, Math. Z., 99, 235-246, (1967) · Zbl 0189.31204
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.