A characterization of L-3 (4)

作者：Liu Shitian^*

来源：ScienceAsia, 2013, 39(4): 436-439.

DOI：10.2306/scienceasia1513-1874.2013.39.436

• element order
• linear group
• Thompson's problem
• number of elements of the same order

Let G be a group and w(G) be the set of element orders of G. Let k is an element of w(G) and s(k) be the number of elements of order k in G. Let nse(G) = {s(k) vertical bar k is an element of w(G)}. L-3(2) congruent to L-2(7) is uniquely determined by nse(G). In this paper, we prove that if G is a group such that nse(G) = nse(L-3(4)), then G congruent to L-3(4).

• 出版日期2013-8
• 单位四川大学