福島博業績目録

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福島博業績目録

1．論文

1. H.Fukushima: 2-Sylow subgroup の index 2の subgroup に関する fusion について，数理解析研究所講究録 277 有限群論（1976)，79-84． 2. H. Fukushima: Finite groups with weakly

closed dihedral, generalized, quaternion subgroups, 第 23回代数学シンポジウム報告集（1977)，77-83．

3. H. Fukushima: Weakly closed cyclic 2-groups in finite groups, J. Math. Soc. Japan, Vol.30, No.1 (1978), 133-137.

4. H. Fukushima: Finite groups admitting an automorphism of prime order, 数理科学講究録 325置換群論（1978)，30-33．

5. H. Fukushima: Finite groups admitting an automorphism of prime order I,Hokkaido Math J. Vol.VIII, No.1 (1979), 103-114.

6. H. Fukushima: Weakly closed dihedral 2-subgroups in finite groups,J.Math.Soc.Japan, Vol.32, No.1 (1980), 193-200.

7. H. Fukushima: 自己同型と有限群の可解性について，「六甲シンポジウム」群論報告集（1980)， 116-119．

8. H. Fukushima: Finite groups admitting an automorphism of prime order fixing an elemen-tary abelian 2-group, Gunma Journal of Arts and Science, Vol.15 (1981), 199-209.

9. H. Fukushima: Finite groups admitting an automorphism of prime order fixing a 3-group,

J. Algebra, Vol.77, No.1 (1982), 247-260. 10. H. Fukushima: Finite groups admitting an

automorphism of prime order fixing an abelian 2-group, J. Algebra, Vol.80, No.1 (1984), 1-23. 11. H. Fukushima: Solvability of finite groups admitting S as a fixed-point-free group of ope-rators,Hokkaido Math J.Vol.XV,No.1 (1986), 47-70.

12. K. Ohtake and H. Fukushima: A remark on Higman s results about separable algebras, Tsukuba J. Math, Vol.10, No.1 (1986), 29-34. 13. H. Fukushima and K. Ohtake, On groups G

with the nilpotency indices of J(kG) coincide with the lower bounds of Wallaces inequality, Gunma Journal of Arts and Science, Vol.22 (1988), 59-64.

14. H. Fukushima and K.Ohtake,On the construc-tion of algebra semigroups, Gunma Journal of Arts and Science, Vol.23 (1989), 109-123. 15. H. Fukushima: On groups G of p-length

2 whose nilpotency indices of J(kG) are a(p−1)＋1, Hokkaido Math J. Vol.XX, No.3 (1991), 523-530.

16. H. Fukushima: p-radical group と radicalの nilpotency indexについて，数理解析研究所講究録 867 有限群とその周辺（1994)，53-60． 17. H. Fukushima: p-Lengths of p-radical groups

are unbounded, J. Algebra, Vol.168, No.3 (1994), 853-863.

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18. H. Fukushima: On the connection between the nilpotency indices of J(kG)and J (kP),Science Reports of the Faculty of Education, Gunma University, Vol.43 (1995), 35-40.

19. H.Fukushima: On p-radical groups G and the nilpotency indices of J(kG), Osaka J.Math,31 (1994), 773-785.

20. H.Fukushima: On p-radical groups G and the nilpotency indices of J(kG) ,Osaka J.Math, 33 (1996), 637-648.

21. H. Fukushima: On the existence of p-blocks of defect 0, Science Reports of the Faculty of Education,Gunma University,Vol.45(1997),9-15.

22. H. Fukushima: Some results on p-blocks of p-radical groups,Science Reports of the Faculty of Education,Gunma University,Vol.46 (1998), 9-13.

23. H.Fukushima: Group-theoretical characterliza-tion of p-radical groups, Science Reports of the Faculty of Education, Gunma University, Vol. 47 (1999), 7-11.

24. H. Fukushima: On the existence of p-blocks of defect 0 in p-nilpotent groups, J. Algebra, Vol. 222, No.2 (1999), 747-768.

25. H. Fukushima: On the existence of p-blocks of defect 0 in solvable groups,J.Algebra,Vol.230, No.2 (2000), 676-682.

26. H. Fukushima and M. Satoh, K. Ohtake: Rep-resentations of groups of order less than 32, Science Reports of the Faculty of Education, Gunma University, Vol.47 (2002), 1-39.

27. H. Fukushima: M-groups of Fitting length three, J. Algebra, Vol.268, No.1 (2003), 1-7. 28. H. Fukushima: Hall subgroups of M -groups

need not be M-groups, Amer. Math. Soc, Vol. 133, No.3 (2005), 671-675.

29. H. Fukushima: Products of two faithful ir-reducible characters, Science Reports of the Faculty of Education, Gunma University, Vol. 55 (2007), 1-4.

30. H. Fukushima: Irreducible products of charac-ters of finite groups with Fitting heights＜5, Science Reports of the Faculty of Education, Gunma University, Vol.56 (2008), 1-4.

31. H. Fukushima: Products of irreducible charac-ters of finite solvable groups,Science Reports of the Faculty of Education, Gunma University, Vol.57 (2009), 1-4.

32. H. Fukushima: Irreducible products of charac-ters of solvable groups, J. Algebra, Vol.321 (2009), 312-315.

33. H.Fukushima: Modules with large centralizers, Science Reports of the Faculty of Education, Gunma University, Vol.58 (2010), 5-7.

34. H. Fukushima: Representations of finite solv-able groups, Science Reports of the Faculty of Education, Gunma University, Vol.60 (2012), 1 -4.

35. H. Fukushima: p-Solvable groups all of whose irreducible modular characters have p-power degrees, Science Reports of the Faculty of Edu-cation, Gunma University, Vol.62 (2014), 1-4.

業績目録 58

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36. H.Fukushima: On hyperbolic modules,Science Reports of the Faculty of Education, Gunma University, Vol.64 (2016), 11-14. ２．著書 (共著) 1. 福島博，他：基礎微積学（第 4章担当） 1987年朝倉書店（全 143頁） 2. 大竹一郎，福島博：初等線形代数 2003年牧野書店（全 158頁） 3. 福島博，他：線形代数学 20講（第 3章担当） 2003年朝倉書店（全 166頁）３．その他

1. 福島博：p-radical group と J(kG)の nilpo-tency indexについて，第 5回有限群論草津セミナー報告集 1993年，21-24．

2. 福島博：p-Solvable groups all of whose irrreducible modular representations have q′ -degrees，第 7回有限群論草津セミナー報告集 1995年，31-34． 3. 福島博：p-可解群における defect 0の block の存在について，第 9 回有限群論草津セミナー報告集 1997年，25-29． 4. 福島博：可解群における defect 0の p-block の存在について，第 11回有限群論草津セミナー報告集 1999 年，31-34． 5. 福島博：群環のブロックの不足群に関する研究（研究課題番号 10640004)，平成 10年度∼平成 11年度科学研究費補助金（基盤研究(c)) 研究成果報告書 2000年． 6. 福島博：M -群について，第 14回有限群論草津セミナー報告集 2002年，44-47． 7. 福島博：M -群の Hall部群について，第 16 回有限群論草津セミナー報告集 2004年，41-44． 8. 福島博：Irreducible products of characters of

M -groups，第 19 回有限群論草津セミナー報告集 2007年，38-40． 9. 福島博：奇数位数の M -群に関する研究 (研究課題番号 17540009)，平成 17年度∼平成 18 年度科学研究費補助金（基盤研究(c)）研究成果報告書 2007年． 10. 福島博：可解群の表現について，第 23回有限群論草津セミナー報告集 2011年，31-33．業績目録 59

福島博業績目録

福島 博 業績目録

福島博業績目録