• Bulletin of the Korean Mathematical Society
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• v.38 no.4
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• pp.719-725
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• 2001

For a p-compact group G, if G-space X is of finite S-type then we show that the localization $S^{-1}H^*(X_{hG})$is zero. By using this result, we prove the localization theorem for the pair G-space (X, A)

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

• Bulletin of the Korean Mathematical Society
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• v.32 no.2
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• pp.139-144
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• 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
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• v.20 no.3
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• pp.223-230
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• 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].

• Communications of the Korean Mathematical Society
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• v.18 no.2
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• pp.215-223
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• 2003

Parks [7] showed that there is an one to one correspondence between good pairs of subgroups in G and irreducible monomial characters of G. This provides a useful criterion for a group to be monomial. In this paper, we study relative monomial groups by defining triples in G, and find relationships between the triples and irreducible relative monomial characters.

• Communications of the Korean Mathematical Society
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• v.15 no.3
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• pp.481-492
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• 2000

As an application of Clifford theory, we are interested in a situation in which every irreducible projective character of a finite group G is an induced character of an irreducible linear character of some subgroup H of G. For this purpose, we study relative projective monomial groups with respect to subgroups.

• Communications of the Korean Mathematical Society
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• v.34 no.1
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• pp.137-143
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• 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
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• v.26 no.2
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• pp.291-300
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• 1989

• Journal of the Korean Mathematical Society
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• v.22 no.2
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• pp.135-142
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• 1985

• Kyungpook Mathematical Journal
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• v.1 no.1
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• pp.41-44
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• 1958