Characterization of simple K4-groups

Changguo Shao; Wujie Shi; Qinhui Jiang

doi:10.1007/s11464-008-0025-x

Front. Math. China ›› 2008, Vol. 3 ›› Issue (3) : 355 -370. DOI: 10.1007/s11464-008-0025-x

Research Article

Characterization of simple K₄-groups

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Abstract

In this paper, we prove that a group G is isomorphic to M, where M is a simple K₄-group, if and only if the following hold: (1) |G| = |M|, (2) nse(G) = nse(M).

Keywords

Finite group / set of sizes of elements with same order / solvable group / element order

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Changguo Shao, Wujie Shi, Qinhui Jiang. Characterization of simple K₄-groups. Front. Math. China, 2008, 3(3): 355-370 DOI:10.1007/s11464-008-0025-x

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