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  1. No Access

    Article

    Distance Between α-Orientations of Plane Graphs by Facial Cycle Reversals

    Cycle reversal had been shown as a powerful method to deal with the relation among orientations of a graph since it preserves the out-degree of each vertex and the connectivity of the orientations. A facial cy...

    Wei Juan Zhang, Jian Guo Qian, Fu Ji Zhang in Acta Mathematica Sinica, English Series (2019)

  2. No Access

    Article

    How does Diagonal Subgroup Embedding Determine the Structure of a Group?

    Let G be a finite group. Let \(D =\{(g, g)| g\in G\}\) ...

    Shouhong Qiao, Guohua Qian, Yanming Wang in Communications in Mathematics and Statistics (2016)

  3. No Access

    Article

    Graphs of nonsolvable groups with four degree-vertices

    Let G be a finite group. The degree (vertex) graph Γ(G) attached to G is a character degree graph. Its vertices are the degrees of the nonlinear irreducible complex characters of G, and different vertices m, n ar...

    LiGuo He, GuoHua Qian in Science China Mathematics (2015)

  4. No Access

    Article

    Blocks of defect zero in finite groups with conjugate subgroups of prime order p

    In this note, we show that if a finite group G has only one conjugacy class of subgroups of an odd prime order p, then G has a p-block of defect zero if and only if O p ...

    Tianze Li, Yanjun Liu, Guohua Qian in Archiv der Mathematik (2015)

  5. No Access

    Article

    Finite groups whose maximal subgroups of sylow p-subgroups admit a p-solvable supplement

    In this note, we show that if every maximal subgroup of a Sylow p-subgroup of a finite group has a p-solvable supplement then the group is necessarily p-solvable. This gives a positive answer to Problem 17.111 of...

    GuoHua Qian in Science China Mathematics (2013)

  6. No Access

    Article

    Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms

    Let l and m be two integers with l > m ≥ 0, and let a and b be integers with a ≥ 1 and a + b ≥ 1. In this paper, we prove that log lcm mn < i ≤ ln {ai + b} = An + o(n), where A i...

    Guoyou Qian, Shaofang Hong in Archiv der Mathematik (2013)

  7. No Access

    Article

    A character theoretic criterion for a p-closed group

    In this paper, we obtain a character theoretic criterion for a group to be p-closed.

    Guohua Qian in Israel Journal of Mathematics (2012)

  8. No Access

    Article

    The least common multiple of a sequence of products of linear polynomials

    Let f(x) be the product of several linear polynomials with integer coefficients. In this paper, we obtain the estimate log lcm (f(1),…,f(n))∼An as n→∞, where A is a constant depending on f.

    Shaofang Hong, Guoyou Qian, Qianrong Tan in Acta Mathematica Hungarica (2012)

  9. No Access

    Article

    A note on element orders and character codegrees

    The result of this note is as follows. If a finite solvable group has an element of order m, then the group has an irreducible character whose codegree contains all prime divisors of m.

    Guohua Qian in Archiv der Mathematik (2011)

  10. No Access

    Article

    A condition for the solvability of finite groups

    A subgroup H is called ℳ-supplemented in a finite group G, if there exists a subgroup B of G such that G = HB and H 1 B is a proper subgroup of G for every maximal ...

    Long Miao, Guohua Qian in Siberian Mathematical Journal (2009)

  11. No Access

    Article

    A note on character kernels in finite groups of prime power order

    In this note, we classify the finite groups of prime power order for which all nonlinear irreducible character kernels constitute a chain with respect to inclusion.

    Guohua Qian, Yanming Wang in Archiv der Mathematik (2008)

  12. No Access

    Article

    Finite groups whose conjugacy class graphs have few vertices

    In this note we classify the finite groups satisfying the following property P5: their conjugacy class lengths are set-wise relatively prime for any 5 distinct classes.

    Alexander Moretó, Guohua Qian, Wujie Shi in Archiv der Mathematik (2005)

  13. No Access

    Article

    On automorphism groups of some finite groups

    We show that if n > 1 is odd and has no divisor p4 for any prime p, then there is no finite group G such that |Aut(G)| = n.

    Guohua Qian in Science in China Series A: Mathematics (2003)