• Communications of the Korean Mathematical Society
• /
• v.34 no.1
• /
• pp.137-143
• /
• 2019

In this paper, we show that $A_4$ is the only finite group with exactly two conjugacy classes of the same size having some non-real linear characters.

• Journal of the Korean Mathematical Society
• /
• v.39 no.3
• /
• pp.461-494
• /
• 2002

Let G = E${\ast}_{A}F$, where A is a finitely generated abelian subgroup. We prove a criterion for G to be {A}-double coset separable. Applying this result, we show that polygonal products of central subgroup separable groups, amalgamating trivial intersecting central subgroups, are double coset separable relative to certain central subgroups of their vertex groups. Finally we show that such polygonal products are conjugacy separable. It follows that polygonal products of polycyclic-by-finite groups, amalgamating trivial intersecting central subgroups, are conjugacy separable.

• Journal of applied mathematics & informatics
• /
• v.42 no.1
• /
• pp.213-221
• /
• 2024

A family of sixth-order multiple-root solver have been developed and the special case of weight function is investigated. The dynamical analysis of selected iterative schemes with uniparametric polynomial weight function are studied using Möbius conjugacy map applied to the form ((z - A)(z - B))^m and the stability surfaces of the strange fixed points for the conjugacy map are displayed. The numerical results are shown through various parameter spaces.

• Bulletin of the Korean Mathematical Society
• /
• v.34 no.3
• /
• pp.351-358
• /
• 1997

A conjugacy theorem which holds for finite groups is proven to hold for Cernikov groups and locally finite CC-groups.

• Journal of the Chungcheong Mathematical Society
• /
• v.19 no.4
• /
• pp.437-443
• /
• 2006

We study free actions of finite groups on the 3-dimensional nilmanifold for Type 1 and classify all such group actions, up to topological conjugacy. This work supplies missing one in [1, Theorem 3.11.].

• Communications of the Korean Mathematical Society
• /
• v.31 no.1
• /
• pp.177-184
• /
• 2016

In this paper, we establish some conjugacy criteria of $M\ddot{o}bius$ groups in infinite dimension by using Clifford matrices. This extends the corresponding known results in finite dimensional setting.

• Journal of the Korean Mathematical Society
• /
• v.33 no.3
• /
• pp.685-692
• /
• 1996

Subshifts of finite type can be classified by various equivalence relations. The most important equivalence relation is undoubtedly strong shift equivalence, i.e., conjugacy. In [W], R. F. Williams introduced shift equivalence which is weaker than conjugacy but still sensitive.

• Bulletin of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.139-144
• /
• 1995

Two subgroups U and V of a finite group G are called to be p-conjugate for a prime p if a Sylow p-subgroup of U is conjugate to a Sylow p-subgroup of V. This concept of p-conjugacy also makes sense for some infinite groups with a reasonable Sylow theory.

• Journal of the Chungcheong Mathematical Society
• /
• v.20 no.3
• /
• pp.223-230
• /
• 2007

We study free actions of finite groups on the 3-dimensional nilmanifold and classify all such group actions, up to topological conjugacy. This work generalize Theorem 3.10 of [1].

• Journal of the Chungcheong Mathematical Society
• /
• v.18 no.2
• /
• pp.223-232
• /
• 2005

We study only free actions of finite groups G on the 3-dimensional nilmanifold, up to topological conjugacy which yields an infra-nilmanifold of type 2.