種数 2 の Schottky 群の Jørgensen 数について

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学術研究第69号種数2のSchottky群のJørgensen数について 11

早稲田大学教育・総合科学学術院学術研究（自然科学編）第69号 1〜18ページ，2021年3月 GAKUJUTSU KENKYU, Academic Studies and Scientific Research, No. 69. p. 1-18, March 2021

種数 2 の Schottky 群の Jørgensen 数について

鷹本　大志

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・雪田　友成

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On the Jørgensen Numbers of the Schottky Groups of Genus 2

Hiroshi TAKAMOTO

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, Tomoshige YUKITA

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＊数学科助教

＊＊教育学研究科数学教育専攻

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2 鷹本大志・雪田友成 2021年3月

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参考文献

[1] A. F. Beardon. The geometry of discrete groups, volume 91 of Graduate Texts in Mathematics. Springer-Verlag New York, 1983.

[2] W. Magnus, A. Karrass, and D. Solitar. Combinatorial group theory. Dover Publications, 1976.

[3] J. Meier. Groups, graphs and trees: an introduction to the geometry of infinite groups. Cambridge University Press, 2008.

[4] R. P. Osborne and H. Zieschang. Primitives in the free group on two generators. Inventiones mathematicae, 63(1):

17–24, 1981.

[5] J. G. Ratcliffe. Foundations of hyperbolic manifolds, volume 149 of Graduate Texts in Mathematics. Springer-Verlag New York, 2006.

[6] S-P. Tan, Y-LWong, and Y. Zhang. Generalized Markoff maps and McShane’s identity. Advances in Mathematics, 217(2):

761–813, 2008.

[7] Y. Yamashita and R. Yamazaki. The realization problem for Jørgensen numbers. arXiv:1703.07732, 2017.

[8] Y. Yamashita and R. Yamazaki. The realization problem for Jørgensen numbers. Conform. Geom. Dyn., 23: 17–31, 2019.

種数 2 の Schottky 群の Jørgensen 数について