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Simple groups of order $$2^a 3^b p^c$$ with cyclic Sylow p-groups. (English) Zbl 0293.20013

MSC:
 20D05 Finite simple groups and their classification 20C20 Modular representations and characters
Full Text:
References:
 [1] {\scM Aschbacher and M Hall, Jr}, Groups generated by a class of elements of order 3, to appear. [2] Brauer, R, On simple groups of order 5 · 3^{a} · 2b, Bull. amer. math. soc., 74, 900-903, (1968) · Zbl 0167.29004 [3] Brauer, R; Tuan, H.F, On simple groups of finite order, Bull. amer. math. soc., 51, 756-766, (1945) · Zbl 0061.03706 [4] Curtis, C.W; Reiner, I.W, Representation theory of finite groups and associative algebras, (1962), Wiley New York · Zbl 0131.25601 [5] Dade, E.C, Blocks with cyclic defect groups, Ann. of math., 84, 20-48, (1966) · Zbl 0163.27202 [6] Gorenstein, D, Finite groups, (1968), Harper and Row New York · Zbl 0185.05701 [7] Herzog, M, On groups of order 2α3β5γ with a cyclic Sylow 3-subgroup, (), 116-118 · Zbl 0197.02005 [8] Leon, J, On simple groups of order 2^{a} · 3b · 5c containing a cyclic Sylow subgroup, J. algebra, 21, 450-457, (1972) [9] Leon, J, On simple groups of order 2^{a} · 3b · 7c containing a cyclic Sylow subgroup, J. algebra, 21, 450-457, (1972) [10] Thompson, J.G; Thompson, J.G, Nonsolvable finite groups all of whose local subgroups are solvable, Bull. amer. math. soc., Pacific J. math., 33, 451-537, (1970), Sections 7-9 appear in · Zbl 0256.20024 [11] Wales, D, Simple groups of order p · 3a · 2b, J. alg., 16, 183-190, (1970) · Zbl 0241.20015 [12] Wales, D, Simple groups of order 7 · 3^{a} · 2b, J. alg., 16, 575-596, (1970) · Zbl 0265.20013 [13] Wales, D, Simple groups of order 13 · 3^{a} · 2b, J. alg., 20, 124-143, (1972) [14] Wales, D, Simple groups of order 17 · 3^{a} · 2b, J. alg., 17, 429-433, (1971) · Zbl 0232.20016
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