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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 495 - 502 (8page)
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초록· 키워드
오류제보하기
We show that free products of finitely generated and residually p-finite nilpotent groups, amalgamating p-closed central subgroups are residually p-finite. As a consequence, we are able to show that generalized free products of residually p-finite abelian groups are residually p-finite if the amalgamated subgroup is closed in the pro-p topology on each of the factors.
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참고문헌 (8)
참고문헌 신청
D. Doniz / 1996 / Residual properties of free products of infinitely many nilpotent groups amalgamating cycles / J. Algebra 179 : 930 ~ 935
G. Baumslag / 1971 / Lecture notes on nilpotent groups / C. B. M. S. Regional Conf. Ser. in Math., Amer. Math. Soc. No. 2
G. Higman / 1964 / Amalgams of p-groups / J. Algebra 1 : 301 ~ 305
G. Kim / 1993 / On amalgamated free products of residually p-finite groups / J. Algebra 162 (1) : 1 ~ 11
G. Kim / 1998 / On generalized free products of residually p-finite groups / J. Algebra 201 : 317 ~ 327
G. Baumslag / 1971 / Lecture notes on nilpotent groups / C. B. M. S. Regional Conf. Ser. in Math., Amer. Math. Soc. No. 2
G. Higman / 1964 / Amalgams of p-groups / J. Algebra 1 : 301 ~ 305
G. Kim / 1993 / On amalgamated free products of residually p-finite groups / J. Algebra 162 (1) : 1 ~ 11
G. Kim / 1998 / On generalized free products of residually p-finite groups / J. Algebra 201 : 317 ~ 327
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